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Volume XIX, Number 1, 2002<br />

A <strong>publication</strong> <strong>of</strong> <strong>the</strong> <strong>James</strong> F. <strong>Lincoln</strong> <strong>Arc</strong> <strong>Welding</strong> <strong>Foundation</strong>


Continuing <strong>the</strong> Tradition…<br />

It was with humility that I recently accepted<br />

Duane Miller’s <strong>of</strong>fer to assist in <strong>the</strong> editing <strong>of</strong><br />

<strong>Welding</strong> Innovation. This was true because I did<br />

not think it would be possible for me to fill <strong>the</strong><br />

position left vacant by my predecessor Scott<br />

Funderburk. He covered <strong>Welding</strong> Innovation<br />

for several years as assistant editor, and he<br />

mentored well under Duane’s watchful eye. I<br />

would expect that Scott will be sorely missed<br />

here in <strong>the</strong> application engineering department<br />

and by our readership. We all wish him <strong>the</strong> very<br />

best in his new assignment.<br />

As is certainly <strong>the</strong> case with <strong>the</strong> roles <strong>of</strong> most<br />

pr<strong>of</strong>essionals employed in industry today, we are<br />

required to wear many hats, and my primary<br />

position as senior application engineer has<br />

dovetailed nicely with my additional responsibility<br />

to <strong>Welding</strong> Innovation. The irony <strong>of</strong> this is that<br />

nearly twenty years ago, I was asked to assist<br />

<strong>the</strong> former editor, Richard Sabo, by suggesting a<br />

name for this <strong>publication</strong>. We finally settled on<br />

The <strong>Welding</strong> Innovation Quarterly, and that<br />

name became synonymous with high-quality,<br />

creative design engineering concepts coupled<br />

with fundamentally strong welding principles. If<br />

you needed answers to tough problems, <strong>the</strong>n in<br />

return we were prepared as a group to provide<br />

high quality information. In principle, it is our<br />

objective to continue <strong>the</strong> rich tradition <strong>of</strong><br />

<strong>Welding</strong> Innovation, and I would like to suggest<br />

that <strong>the</strong> articles in this issue <strong>of</strong> <strong>the</strong> magazine<br />

reflect our commitment to that objective.<br />

Pr<strong>of</strong>essor Henry Petroski’s contribution to this<br />

issue, “The Fall <strong>of</strong> Skyscrapers,” provides an<br />

analysis <strong>of</strong> <strong>the</strong> collapse <strong>of</strong> <strong>the</strong> World Trade<br />

Center towers resulting from <strong>the</strong> September 11<br />

terrorist attack. In addition, Pr<strong>of</strong>essor Petroski<br />

provides us with ideas regarding future design<br />

considerations, and <strong>the</strong> practicality <strong>of</strong> future<br />

skyscraper construction. In contrast, contributing<br />

writer Carla Rautenberg provides an article that<br />

presents Frank Gehry’s free-form design <strong>of</strong> <strong>the</strong><br />

Peter B. Lewis Building at <strong>the</strong> Wea<strong>the</strong>rhead<br />

School <strong>of</strong> Management located on <strong>the</strong> Case<br />

Western Reserve University campus. The compelling<br />

design <strong>of</strong> <strong>the</strong> newly constructed Gehry<br />

design is a clear break from <strong>the</strong> historical<br />

constraints <strong>of</strong> rectangular designed structures.<br />

We are confident that this issue <strong>of</strong> <strong>Welding</strong><br />

Innovation will be thought-provoking, and we<br />

encourage your innovative input for future issues.<br />

I especially urge you to consider sharing with our<br />

readers <strong>the</strong> value <strong>of</strong> your own experience, in <strong>the</strong><br />

form <strong>of</strong> a submission to <strong>the</strong> “Lessons Learned in<br />

<strong>the</strong> Field” column initiated by our senior design<br />

consultant, Omer W. Blodgett. See page 18 for<br />

ano<strong>the</strong>r <strong>of</strong> Omer’s timeless and valuable engineering<br />

lessons.<br />

Jeff Nadzam<br />

Assistant Editor<br />

Australia and New Zealand<br />

Raymond K. Ryan<br />

Phone: 61-2-4862-3839<br />

Fax: 61-2-4862-3840<br />

INTERNATIONAL SECRETARIES<br />

Croatia<br />

Pr<strong>of</strong>. Dr. Slobodan Kralj<br />

Phone: 385-1-61-68-222<br />

Fax: 385-1-61-56-940<br />

Russia<br />

Dr. Vladimir P. Yatsenko<br />

Phone: 077-095-737-62-83<br />

Fax: 077-093-737-62-87


Cover: With a shimmering stainless steel<br />

skin concealing its intricate welded structure,<br />

<strong>the</strong> ro<strong>of</strong> <strong>of</strong> <strong>the</strong> almost-completed Peter B.<br />

Lewis Building at Case Western Reserve<br />

University definitely makes an architectural<br />

statement. See story on page 20.<br />

Omer W. Blodgett, Sc.D., P.E.<br />

Design Consultant<br />

Volume XIX<br />

Number 1, 2002<br />

Editor<br />

Duane K. Miller,<br />

Sc.D., P.E.<br />

Assistant Editor<br />

Jeff R. Nadzam<br />

The <strong>James</strong> F. <strong>Lincoln</strong><br />

<strong>Arc</strong> <strong>Welding</strong> <strong>Foundation</strong><br />

The views and opinions<br />

expressed in <strong>Welding</strong><br />

Innovation do not necessarily<br />

represent those <strong>of</strong><br />

The <strong>James</strong> F. <strong>Lincoln</strong> <strong>Arc</strong><br />

<strong>Welding</strong> <strong>Foundation</strong> or The<br />

<strong>Lincoln</strong> Electric Company.<br />

The serviceability <strong>of</strong> a<br />

product or structure utilizing<br />

<strong>the</strong> type <strong>of</strong> information<br />

presented herein is, and<br />

must be, <strong>the</strong> sole responsibility<br />

<strong>of</strong> <strong>the</strong> builder/user.<br />

Many variables beyond <strong>the</strong><br />

control <strong>of</strong> The <strong>James</strong> F.<br />

<strong>Lincoln</strong> <strong>Arc</strong> <strong>Welding</strong><br />

<strong>Foundation</strong> or The <strong>Lincoln</strong><br />

Electric Company affect <strong>the</strong><br />

results obtained in applying<br />

this type <strong>of</strong> information.<br />

These variables include,<br />

but are not limited to, welding<br />

procedure, plate chemistry<br />

and temperature,<br />

weldment design, fabrication<br />

methods, and service<br />

requirements.<br />

Features<br />

2 Orthotropic Design Meets Cold Wea<strong>the</strong>r Challenges<br />

This overview <strong>of</strong> orthotropic steel deck bridges discusses a number<br />

<strong>of</strong> examples that have been built in Norway, Russia, Sweden and Ukraine.<br />

12 The Fall <strong>of</strong> Skyscrapers<br />

In an article reprinted from American Scientist, Duke University Pr<strong>of</strong>essor<br />

Henry Petroski considers some ramifications <strong>of</strong> <strong>the</strong> collapse <strong>of</strong> <strong>the</strong> World Trade<br />

Center towers on <strong>the</strong> future skylines <strong>of</strong> <strong>the</strong> world’s cities.<br />

20 Gleaming “Waterfall” Refreshes Urban Campus<br />

The work <strong>of</strong> architect Frank Gehry inspires controversy and excitement<br />

as <strong>the</strong> new home <strong>of</strong> Case Western Reserve University’s Wea<strong>the</strong>rhead School<br />

nears completion in Cleveland, Ohio.<br />

Departments<br />

7 Design File: Designing Fillet Welds for Skewed T-Joints, Part 1<br />

11 Opportunities: <strong>Lincoln</strong> Electric Technical Programs<br />

17 Opportunities: <strong>Lincoln</strong> Electric Pr<strong>of</strong>essional Programs<br />

18 Lessons Learned in <strong>the</strong> Field: Consider <strong>the</strong> Transfer <strong>of</strong> Stress<br />

through Members<br />

Visit us online at www.<strong>Welding</strong>Innovation.com<br />

THE JAMES F. LINCOLN ARC WELDING FOUNDATION<br />

Dr. Donald N. Zwiep, Chairman<br />

Orange City, Iowa<br />

John Twyble, Trustee<br />

Mosman, NSW, Australia<br />

Duane K. Miller, Sc.D., P.E.<br />

Executive Director & Trustee<br />

Roy L. Morrow<br />

President<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002<br />

1


Orthotropic Design Meets Cold Wea<strong>the</strong>r Challenges<br />

An Overview <strong>of</strong> Orthotropic Steel Deck Bridges in Cold Regions<br />

By Alfred R. Mangus, P.E.<br />

Transportation Engineer, Civil<br />

California Dept. <strong>of</strong> Transportation (CALTRANS)<br />

Sacramento, California<br />

Introduction<br />

Initially developed by German engineers<br />

following World War II, orthotropic<br />

bridge design was a creative response<br />

to material shortages during <strong>the</strong> postwar<br />

period. Lightweight orthotropic steel<br />

bridge decks not only <strong>of</strong>fered excellent<br />

structural characteristics, but were also<br />

economical to build (Troitsky 1987).<br />

Moreover, <strong>the</strong>y could be built in cold<br />

climates at any time <strong>of</strong> <strong>the</strong> year.<br />

Engineers from around <strong>the</strong> world utilize<br />

this practical and economic system for<br />

all types <strong>of</strong> bridges. While concrete<br />

must be at or above 5 degrees Celsius<br />

to properly cure, it is physically possible<br />

to encapsulate and heat <strong>the</strong> concrete<br />

construction process; admittedly, this<br />

adds to construction costs (Mangus<br />

1988), (Mangus 1991).<br />

Orthotropic steel deck bridges have<br />

proven to be durable in cold regions.<br />

The orthotropic steel deck integrates<br />

<strong>the</strong> driving surface as part <strong>of</strong> <strong>the</strong><br />

superstructure, and has <strong>the</strong> lowest<br />

total mass <strong>of</strong> any practicable system.<br />

In Europe, where <strong>the</strong> advantages <strong>of</strong><br />

orthotropic design have been<br />

embraced with enthusiasm, <strong>the</strong>re are<br />

more than 1,000 orthotropic steel deck<br />

bridges. In all <strong>of</strong> North America, <strong>the</strong>re<br />

are fewer than 100 bridges <strong>of</strong><br />

orthotropic design.<br />

This article will give an overview <strong>of</strong><br />

imaginative steel deck bridges currently<br />

in operation in Norway, Russia,<br />

Sweden, and Ukraine. The examples<br />

Figure 1. Rib designs.<br />

cover a matrix <strong>of</strong> rib types, superstructure<br />

types and various bridge types.<br />

Russia has developed a mass manufactured<br />

panelized orthotropic deck<br />

system and has devised special<br />

launching methods for cold regions.<br />

Russian engineers prefer <strong>the</strong> open rib<br />

design and have industrialized this<br />

system, while most o<strong>the</strong>r engineers<br />

prefer <strong>the</strong> closed rib. Researchers, as<br />

well as <strong>the</strong> owners <strong>of</strong> orthotropic steel<br />

deck bridges, continue to monitor <strong>the</strong><br />

performance <strong>of</strong> various rib types<br />

(Figure 1).<br />

In Norway<br />

Nordhordland Floating Bridge<br />

The Nordhordland Bridge across <strong>the</strong><br />

Salhus fjord is Norway’s second floating<br />

bridge and <strong>the</strong> world’s largest floating<br />

bridge (Meaas, Lande, and Vindoy,<br />

1994). The bridge was opened for traffic<br />

in 1994. The total bridge length is<br />

1615 m and consists <strong>of</strong> a high level<br />

369 m long cable stayed bridge and a<br />

1246 m long floating bridge (Figure 2).<br />

The floating bridge consists <strong>of</strong> a steel<br />

box girder, which is supported on ten<br />

concrete pontoons and connected to<br />

abutments with transition elements in<br />

forged steel. The main elements are a<br />

high-level cable stayed bridge providing<br />

a ship channel and a floating<br />

bridge between <strong>the</strong> underwater rock<br />

Klauvaskallen and <strong>the</strong> o<strong>the</strong>r side <strong>of</strong><br />

<strong>the</strong> fjord. The cable stayed bridge provides<br />

a clear ship channel. A 350 m<br />

long ramp is required to transition from<br />

<strong>the</strong> higher bridge deck on <strong>the</strong> cable<br />

2 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002<br />

Figure 2. Nordhordland Floating Bridge across Salhus fjord <strong>of</strong> Norway.


stayed bridge to <strong>the</strong> bridge deck 11 m<br />

above <strong>the</strong> waterline. The steel box<br />

girder <strong>of</strong> <strong>the</strong> floating bridge forms a<br />

circular arch with a radius <strong>of</strong> 1,700 m<br />

in <strong>the</strong> horizontal plane. The supporting<br />

pontoons are positioned with a center<br />

distance <strong>of</strong> 113 m and act as elastic<br />

supports for <strong>the</strong> girder, which is<br />

designed without internal hinges. The<br />

bridge follows <strong>the</strong> tidal variations by<br />

elastic deformations <strong>of</strong> <strong>the</strong> girder.<br />

The steel box girder is <strong>the</strong> main loadcarrying<br />

element <strong>of</strong> <strong>the</strong> bridge (Figure<br />

3). The octagon girder is 5.5 m high<br />

and 13 m wide. The free height below<br />

<strong>the</strong> girder down to <strong>the</strong> waterline is 5.5<br />

m and this allows for passage <strong>of</strong> small<br />

boats. The plate thickness varies from<br />

14 mm to 20 mm. The plate stiffeners<br />

are in <strong>the</strong> traditional trapezoidal shape<br />

and <strong>the</strong>y span in <strong>the</strong> longitudinal direction<br />

<strong>of</strong> <strong>the</strong> girder. The stiffeners are<br />

supported by cross-frames with center<br />

distance <strong>of</strong> maximum 4.5 m. At <strong>the</strong><br />

supports on <strong>the</strong> pontoons, bulkheads<br />

are used instead <strong>of</strong> cross-frames. This<br />

is done because <strong>the</strong> loads in <strong>the</strong>se<br />

sections are significantly larger than in<br />

<strong>the</strong> cross-frames. The plate thickness<br />

Figure 3. Nordhordland Floating<br />

Bridge.<br />

in <strong>the</strong> bulkheads varies from 8 mm to<br />

50 mm. The box girder is constructed<br />

in straight elements with lengths varying<br />

from 35 m to 42 m. The elements<br />

are welded toge<strong>the</strong>r with a skew angle<br />

<strong>of</strong> 1.2° to 1.3° to accommodate <strong>the</strong><br />

arch curvature in <strong>the</strong> horizontal plane.<br />

The cross section dimensions <strong>of</strong> <strong>the</strong><br />

octagonal box girder are constant for<br />

<strong>the</strong> length <strong>of</strong> <strong>the</strong> bridge.<br />

The stress level varies significantly<br />

over <strong>the</strong> length <strong>of</strong> <strong>the</strong> bridge. In <strong>the</strong><br />

areas with <strong>the</strong> highest stresses, steel<br />

with a yield strength <strong>of</strong> 540 MPa is<br />

used.<br />

Orthotropic bridge design<br />

was a creative response<br />

to material shortages<br />

during <strong>the</strong> postwar period<br />

In <strong>the</strong> remainder <strong>of</strong> <strong>the</strong> bridge (in <strong>the</strong><br />

cross-frames and bulkheads) normalized<br />

steel with yield strength <strong>of</strong> 355<br />

MPa is used. The total steel weight <strong>of</strong><br />

<strong>the</strong> box girder is 12,500 tons, <strong>of</strong> which<br />

approximately 3,000 tons are high<br />

strength steel. The elevated ramp is<br />

approximately 350 m long and has a<br />

grade <strong>of</strong> 5.7 percent (Figure 4). The<br />

elevated ramp is constructed with an<br />

orthotropic plate deck 12 mm thick<br />

and has 8 mm and 10 mm thick trapezoidal<br />

ribs 800 mm deep. T-shaped<br />

crossbeams support <strong>the</strong> ribs with a<br />

maximum center distance <strong>of</strong> 4.5 m.<br />

The main 1,200 mm deep box girders<br />

are located one at each edge <strong>of</strong> <strong>the</strong><br />

ramp in order to maximize <strong>the</strong> stiffness<br />

about a vertical axis. The steel weight<br />

<strong>of</strong> <strong>the</strong> ramp is 1,600 tons.<br />

Figure 4. Nordhordland Floating<br />

Bridge.<br />

Bybrua Bridge<br />

The Bybrua cable stayed bridge has a<br />

main span <strong>of</strong> 185 m. The 15.5 m wide<br />

roadway superstructure was fabricated<br />

in <strong>the</strong> shop in 9.0 m sections (Figure 5).<br />

There is a combined pedestrian plus<br />

bicycles area on each side <strong>of</strong> <strong>the</strong> three<br />

traffic lanes. The cross section <strong>of</strong> <strong>the</strong><br />

main span has a deck-plate 12 mm<br />

thick, but this increases to 16 and 20<br />

mm at <strong>the</strong> cable anchorage. The bottom<br />

plate varies between 8 mm and<br />

10 mm thickness, and <strong>the</strong> webs<br />

between 12 mm and 20 mm. At<br />

intervals <strong>of</strong> 3.0 m <strong>the</strong>re are frames<br />

supporting <strong>the</strong> longitudinal stiffening<br />

system. In <strong>the</strong> bridge deck this is<br />

made up <strong>of</strong> standard trapezoidal ribs<br />

Figure 5. Bybrua Bridge.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 3


from <strong>the</strong> German steel company<br />

Krupp, and in <strong>the</strong> bottom flange box<br />

section <strong>of</strong> bulb flats open ribs were utilized<br />

(Aune and Holand 1981). In <strong>the</strong><br />

longitudinal direction <strong>the</strong> deck was<br />

divided into six fabricated sections,<br />

two <strong>of</strong> which were welded to <strong>the</strong> web<br />

sections. The box bottom was fabricated<br />

as three sections. The total steel<br />

weight is about 1,100 tons. All elements<br />

prefabricated in <strong>the</strong> shop were<br />

welded, as were <strong>the</strong> field splices in <strong>the</strong><br />

deck, whereas “Huck” high tensile<br />

bolts were used in all o<strong>the</strong>r field joints.<br />

All field joints were calculated as friction<br />

connections. The whole steel<br />

structure is metallized with zinc and<br />

painted according to <strong>the</strong> specifications<br />

<strong>of</strong> <strong>the</strong> Norwegian Public Roads<br />

Administration. The superstructure<br />

received <strong>the</strong> maximum live load<br />

stresses during <strong>the</strong> erection <strong>of</strong> <strong>the</strong><br />

bridge. The wearing surface <strong>of</strong> <strong>the</strong><br />

bridge deck is <strong>the</strong> same as that developed<br />

by <strong>the</strong> Danish State Road<br />

Laboratories for <strong>the</strong> Lillebelt Bridge <strong>of</strong><br />

Denmark.<br />

Storda and Bomla Bridges<br />

The “Triangle Link” project connects<br />

three islands <strong>of</strong>f <strong>the</strong> Norwegian coast<br />

south <strong>of</strong> Belgen to <strong>the</strong> mainland with<br />

three bridges (Larson and Valen<br />

Researchers continue<br />

to monitor <strong>the</strong> performance<br />

<strong>of</strong> various rib types<br />

2000). The entire project was completed<br />

in April 2001. The two orthotropic<br />

steel deck suspension bridges are<br />

known as <strong>the</strong> Storda Bridge and <strong>the</strong><br />

Bomla Bridge. The Storda Bridge is<br />

1,076 m long, has a main span <strong>of</strong> 677<br />

m, with towers 97 m high and a vertical<br />

clearance <strong>of</strong> 18 m (Figure 6). The<br />

Bomla Bridge is 990 m long with a<br />

main span <strong>of</strong> 577 m and <strong>the</strong> tower<br />

height is 105 m. The roadway <strong>of</strong> both<br />

bridges is 9.7 m wide. Scanbridge AS<br />

<strong>of</strong> Norway fabricated <strong>the</strong> Bomla<br />

Bridge’s steel approach superstructure,<br />

which was launched out over <strong>the</strong><br />

tops <strong>of</strong> <strong>the</strong> columns from <strong>the</strong> shore.<br />

The steel components for <strong>the</strong> main<br />

span superstructure <strong>of</strong> <strong>the</strong> Storda<br />

Bridge were prefabricated in <strong>the</strong><br />

Ne<strong>the</strong>rlands (Figure 6) and <strong>the</strong> main<br />

span superstructure <strong>of</strong> <strong>the</strong> Bomla<br />

Bridge was prefabricated in Italy. The<br />

orthotropic ribs for <strong>the</strong> Storda Bridge<br />

were prefabricated in France. The<br />

orthotropic sections were transported<br />

to <strong>the</strong> site by barge, and were lifted<br />

into position by a crane.<br />

Figure 6. Storda Bridge.<br />

In Russia<br />

Russian engineers have standardized<br />

<strong>the</strong>ir orthotropic deck plates using<br />

open or flat plate ribs as shown in<br />

Figure 1. They have several launching<br />

solutions or standardized methods for<br />

pushing <strong>the</strong> superstructure across a<br />

river or gorge. There are a limited<br />

number <strong>of</strong> bridge case histories documented<br />

in English, but <strong>the</strong>y provide an<br />

overall view <strong>of</strong> Russian techniques<br />

(Blank, Popov, and Seliverstov 1999).<br />

In <strong>the</strong> city <strong>of</strong> Arkhangel, Russia, a vertical<br />

lift record span bridge <strong>of</strong> 120.45<br />

m was completed in 1990 (Stepanov<br />

1991). The Berezhkovsky twin parallel<br />

bridges are multi-cell box girder<br />

bridges consisting <strong>of</strong> three spans <strong>of</strong><br />

110 m + 144.5 m +110 m. Each bridge<br />

has four traffic lanes 3.75 m wide.<br />

These bridges were <strong>the</strong> first to be<br />

launched with inclined webs<br />

(Surovtsev, Pimenov, Seliverstov, and<br />

Iourkine 2000).<br />

Oka Bridge<br />

The four-lane orthotropic twin box<br />

girder bridge crossing <strong>the</strong> Oka River<br />

on <strong>the</strong> bypass freeway around <strong>the</strong> city<br />

<strong>of</strong> Gorki, Russia, was opened to traffic<br />

in 1991 (Figure 7). The 966 m long<br />

superstructure consists <strong>of</strong> 2 spans x<br />

84 m + 5 spans x 126 m + 2 spans x<br />

84 m (Design Institute Giprotransmost<br />

1991). This bridge is a single continuous<br />

superstructure with a fixed bearing<br />

420 m away from one <strong>of</strong> <strong>the</strong> abutments.<br />

The total bridge width (29.5 m<br />

including steel traffic barriers) provides<br />

two sidewalks 1.5 m wide each, four<br />

traffic lanes, four safety shoulders and<br />

a center median. The total weight <strong>of</strong><br />

steel for <strong>the</strong> superstructure is 10,635<br />

tons, or 373 kg/m2. The orthotropic<br />

steel superstructure comprises five<br />

basic elements (Figure 7). There are<br />

two main box girders assembled from<br />

two L-shaped sections for <strong>the</strong> bottom<br />

face and sides. The intermediate<br />

orthotropic plate sections were used<br />

for <strong>the</strong> top flange <strong>of</strong> <strong>the</strong> two box girders,<br />

as well as <strong>the</strong> majority <strong>of</strong> <strong>the</strong><br />

deck. The end sections <strong>of</strong> <strong>the</strong><br />

orthotropic plate were panelized with<br />

tapered ends, because only sidewalk<br />

loading is required. The transverse<br />

diaphragms are steel trusses between<br />

<strong>the</strong> box girders. The diaphragms<br />

required extra steel beams at <strong>the</strong> bottom<br />

flange <strong>of</strong> <strong>the</strong> box girder above <strong>the</strong><br />

bearings. The main box girder was<br />

shop fabricated in L-shaped sections<br />

that are 21 m long and 3.6 m deep.<br />

The intermediate orthotropic welded<br />

steel deck plate was shop fabricated in<br />

panelized sections 2.5 m wide and<br />

11.5 m long.<br />

The longitudinal ribs <strong>of</strong> <strong>the</strong> orthotropic<br />

deck and steel box girders are flat rib<br />

plates spaced at 0.35 m, and <strong>the</strong><br />

spacing <strong>of</strong> transverse ribs is 3.0 m for<br />

both components. The stiffening ribs <strong>of</strong><br />

<strong>the</strong> main girder are located on both<br />

sides <strong>of</strong> every web. The vertical split-T<br />

ribs <strong>of</strong> <strong>the</strong> box girders were aligned<br />

with <strong>the</strong> transverse ribs <strong>of</strong> <strong>the</strong> ribbed<br />

plate, thus creating <strong>the</strong> integral internal<br />

diaphragms. The longitudinal stiffening<br />

ribs are at a constant spacing<br />

4 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


Figure 7. Twin box girder bridge crossing <strong>the</strong> Oka River, Russia (split–section).<br />

along <strong>the</strong> bridge. Depending on <strong>the</strong><br />

web thickness, additional vertical stiffening<br />

ribs were required between <strong>the</strong><br />

diaphragms. The superstructure was<br />

erected using “continuous launching”<br />

from one bank <strong>of</strong> <strong>the</strong> Oka River. The<br />

shop-fabricated elements were added<br />

piece by piece to form a continuous<br />

structure at <strong>the</strong> “erection slip” area on<br />

this riverbank. The joints <strong>of</strong> <strong>the</strong> horizontal<br />

sections <strong>of</strong> <strong>the</strong> orthotropic deck<br />

and ribbed plates, as well as <strong>the</strong> joints<br />

<strong>of</strong> <strong>the</strong> web <strong>of</strong> <strong>the</strong> main girder, were<br />

automatically welded. The joints <strong>of</strong> <strong>the</strong><br />

longitudinal ribs <strong>of</strong> <strong>the</strong> ribbed plate<br />

were manually welded. All <strong>the</strong> remaining<br />

joints used high strength bolts.<br />

In Sweden<br />

High Coast Suspension Bridge<br />

The High Coast Suspension Bridge <strong>of</strong><br />

Sweden is almost <strong>the</strong> same size as<br />

San Francisco’s Golden Gate Bridge<br />

(Merging with Nature 1998). The main<br />

span is 1,210 m long with suspended<br />

abutment to abutment where expansion<br />

joints and hydraulic buffers are<br />

located. The 48 box girder sections<br />

were fabricated at a shipyard in<br />

Finland (Pedersen 1997). The standard<br />

section is 20 m long with two<br />

Figure 9. High Coast, Sweden<br />

components.<br />

sets <strong>of</strong> hangers each and weighs 320<br />

tons (Figure 9). The 20 m long panels<br />

for <strong>the</strong> deck, sides and bottom were<br />

fabricated with a maximum width <strong>of</strong> 10<br />

m. They were fabricated from steel<br />

plates, typically 9 to 14 mm thick,10 m<br />

long and 3 to 3.3 m wide. The ribs<br />

were 20 m long trapezoidal ribs with a<br />

plate thickness <strong>of</strong> 6 to 8 mm.<br />

The plates were placed on a plane<br />

and welded in <strong>the</strong> transverse and longitudinal<br />

direction and <strong>the</strong> trough stiffeners<br />

were fitted and welded<br />

longitudinally. Plates connecting <strong>the</strong><br />

panels and <strong>the</strong> diaphragms were welded<br />

between ribs. The 20 m long edge<br />

sections and units for <strong>the</strong> transverse<br />

diaphragm, or bulkhead, were prefabricated.<br />

The bottom and inclined sides<br />

were placed first. Each 4 m deep<br />

transverse diaphragm or bulkhead was<br />

fitted. The edge sections were installed<br />

and finally <strong>the</strong> two deck panels were<br />

placed on top, completing a 20 m long<br />

subsection. The 31 bridge girder sections<br />

for <strong>the</strong> main span were transported<br />

from <strong>the</strong> fabrication yard in Finland<br />

on <strong>the</strong> three barges in <strong>the</strong> same way<br />

as <strong>the</strong> sections for <strong>the</strong> side spans, and<br />

erected with a floating sheerleg crane,<br />

130 m boom, starting from mid-span<br />

and proceeding towards <strong>the</strong> towers<br />

(Edwards and Westergren 1999).<br />

In Ukraine<br />

South Bridge over <strong>the</strong> Dnipro River<br />

The 1992 signature span <strong>of</strong> <strong>the</strong> South<br />

Bridge over <strong>the</strong> Dnipro [Dnepr] River<br />

in Kyiv [Kiev], Ukraine is an unsymmetrical<br />

cable stayed bridge with a<br />

main span <strong>of</strong> 271 m (Korniyiv and.<br />

Fuks 1994). The main span side <strong>of</strong> <strong>the</strong><br />

H-tower is a continuous three-span<br />

steel box girder with orthotropic steel<br />

deck. The back-span superstructure on<br />

<strong>the</strong> opposite side <strong>of</strong> <strong>the</strong> H-tower is a<br />

segmental prestressed concrete box<br />

section. Concrete construction for <strong>the</strong><br />

shorter back span <strong>of</strong> 60 m was used<br />

as a counter-weight mass equal to <strong>the</strong><br />

longer orthotropic main span. The<br />

bridge carries a six-lane roadway, two<br />

rail tracks and four large-diameter<br />

water pipes (Figure 10). The total live<br />

Figure 8. High Coast, Sweden, section.<br />

side spans <strong>of</strong> 310 m and 280 m. The<br />

width <strong>of</strong> <strong>the</strong> roadway is 17.8 m, allowing<br />

for a possible future extension to 4<br />

lanes (Figure 8). The distance<br />

between <strong>the</strong> main cables is 20.8 m<br />

and <strong>the</strong>re are 20 m between <strong>the</strong> hangers.<br />

The girder is continuous through<br />

<strong>the</strong> towers extending 1,800 m from<br />

Figure 10. South Bridge (cable stayed) <strong>of</strong> Ukraine (split–section).<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 5


load is about 246 kN/m. The threespan<br />

(80.5 m + 90 m + 271 m) continuous<br />

steel box girders are made <strong>of</strong><br />

low-alloy steel with a minimum yield<br />

strength <strong>of</strong> 390 MPa.<br />

The bridge was divided into segments<br />

that were shop-welded. Field splices<br />

were ei<strong>the</strong>r welded or joined by highstrength<br />

bolts. Bolting was used where<br />

automatic welding was impractical<br />

because <strong>of</strong> <strong>the</strong> short length <strong>of</strong> <strong>the</strong><br />

weld or difficult access. The cross section<br />

<strong>of</strong> <strong>the</strong> twin two-cell box girder<br />

bridge consists <strong>of</strong> six vertical webs,<br />

<strong>the</strong> upper deck plate and <strong>the</strong> lower<br />

box flanges. The narrow cell is for <strong>the</strong><br />

cable stayed bridge anchorage. In <strong>the</strong><br />

central portion <strong>of</strong> <strong>the</strong> cross section<br />

that carries <strong>the</strong> two hot water supply<br />

pipes, <strong>the</strong> lower flange was omitted to<br />

preclude <strong>the</strong> undesirable effects <strong>of</strong><br />

unequal heating inside a closed box.<br />

The bearings at <strong>the</strong> piers permit lateral<br />

displacement <strong>of</strong> <strong>the</strong> superstructure<br />

because <strong>of</strong> <strong>the</strong> 41.5 m bridge width.<br />

The orthotropic decks, bottom flanges<br />

<strong>of</strong> <strong>the</strong> boxes and <strong>the</strong> webs have open<br />

flat-bar stiffening ribs, a common feature<br />

in Ukrainian and Russian bridges.<br />

Longitudinal flat or open ribs were<br />

placed on <strong>the</strong> top face <strong>of</strong> <strong>the</strong><br />

orthotropic deck plate under <strong>the</strong> rail<br />

tracks, thus avoiding intersections <strong>of</strong><br />

longitudinal and transverse stiffeners.<br />

This facilitated fabrication, at <strong>the</strong> same<br />

time precluding stress concentrations<br />

at crossing welds that would be susceptible<br />

to fatigue under dynamic train<br />

loading. Longitudinal ribs under <strong>the</strong><br />

train tracks have a depth in excess <strong>of</strong><br />

<strong>the</strong> design requirements, which permitted<br />

longitudinal pr<strong>of</strong>ile adjustments<br />

<strong>of</strong> <strong>the</strong> tracks after erection <strong>of</strong> <strong>the</strong><br />

bridge superstructure. The steel girders<br />

were pre-assembled on <strong>the</strong> bank<br />

<strong>of</strong> <strong>the</strong> south and erected by launching.<br />

The twin two-cell box girders were<br />

equipped with a launching nose and<br />

stiffened with a temporary strut system<br />

(Rosignoli1999). Single erection rollers<br />

were used at <strong>the</strong> tops <strong>of</strong> supports and<br />

had a friction factor <strong>of</strong> less than 0.015.<br />

The erection <strong>of</strong> <strong>the</strong> 271 m main span<br />

was accomplished with two false work<br />

supports providing three equal spans<br />

<strong>of</strong> about 90 m. At <strong>the</strong> H-tower <strong>of</strong> <strong>the</strong><br />

cable stayed bridge, hinged conditions<br />

are provided by supports with limited<br />

rotational capability in <strong>the</strong> vertical and<br />

<strong>the</strong> horizontal planes. The torsional<br />

rigidity <strong>of</strong> <strong>the</strong> bridge is supplied by <strong>the</strong><br />

two planes <strong>of</strong> cable stays, plus <strong>the</strong><br />

stiffness <strong>of</strong> <strong>the</strong> closed box sections.<br />

Under one-sided loading <strong>of</strong> <strong>the</strong> bridge<br />

(three traffic lanes), <strong>the</strong> deck cross<br />

slope <strong>of</strong> 0.3% was measured in field<br />

tests, less than <strong>the</strong> calculated value <strong>of</strong><br />

0.35%. Eccentric hinged connections<br />

between <strong>the</strong> bottom flanges <strong>of</strong> <strong>the</strong><br />

stiffening girders and <strong>the</strong> H-tower were<br />

constructed, considerably reducing <strong>the</strong><br />

bending moments in <strong>the</strong> girders.<br />

Conclusion<br />

The foregoing examples illustrate a<br />

range <strong>of</strong> creative responses to <strong>the</strong><br />

challenge <strong>of</strong> designing and constructing<br />

orthotropic steel deck bridges in<br />

cold wea<strong>the</strong>r regions. The versatility,<br />

economy and structural integrity <strong>of</strong><br />

welded orthotropic design undoubtedly<br />

will continue to inspire bridge designers<br />

and structural engineers in <strong>the</strong><br />

21st century.<br />

Figure Credits<br />

Figure 1 from Ballio, G., Mazzolani, F. M. 1983,<br />

“Theory and Design <strong>of</strong> Steel Design Structures,”<br />

Chapman & Hall Ltd. courtesy <strong>of</strong> Dr. Mazzolani;<br />

Figures 2, 3, & 4 courtesy <strong>of</strong> Dr. Ing. A-<br />

Aas–Jakobsen, AS Structural Engineering<br />

Consultants, Oslo, Norway; Figure 5 adapted from<br />

Aune, Petter, and Holand, Ivar (1981); Figure 6<br />

courtesy <strong>of</strong> Mr. L. Adelaide <strong>of</strong> Pr<strong>of</strong>ilafroid, France;<br />

Figures 8 & 9 courtesy <strong>of</strong> Claus Pedersen <strong>of</strong><br />

Mondberg & Thorsen AS, Copenhagen, Denmark;<br />

Figures 7 & 10 courtesy <strong>of</strong> IABSE International<br />

Association <strong>of</strong> Bridge Structural Engineers.<br />

References<br />

Aune, P., Holand, I. (1981) Norwegian Bridge<br />

Building – A Volume Honoring Arne Selberg,<br />

Tapir, Norway<br />

Blank, S. A., Popov, O. A., Seliverstov, V. A., (1999)<br />

“Chapter 66 Design Practice in Russia,” Bridge<br />

Engineering Handbook, 1st ed., Chen, W.F.,<br />

and Duan, L. Editors, CRC Press, Boca Raton<br />

Florida<br />

Design Institute Giprotransmost, (1991) “The<br />

Bridge-Crossing over <strong>the</strong> River Oka on<br />

<strong>the</strong> Bypass Road near Gorki” Structural<br />

Engineering International, IABSE, Zurich,<br />

Switzerland, Vol. 1, Number 1, 14-15<br />

Edwards,Y. & Westergren P., (1999), “Polymer<br />

modified waterpro<strong>of</strong>ing and pavement system<br />

for <strong>the</strong> High Coast Sweden” NordicRoad &<br />

Transport Research No. 2, 28<br />

Korniyiv, M. H. and Fuks, G. B (1994) “The South<br />

Bridge, Kyiv, Ukraine” Structural Engineering<br />

International, IABSE, Zurich, Switzerland, Vol.<br />

4, Number 4, 223-225<br />

Larsen J., and Valen, A., (2000) “Comparison <strong>of</strong><br />

Aerial Spinning versus Locked-Coil Cables<br />

for Two Suspension Bridges (Norway),”<br />

Structural Engineering International, IABSE,<br />

10(3), 128-131<br />

Mangus, A., (1988) “Air Structure Protection <strong>of</strong><br />

Cold Wea<strong>the</strong>r Concrete,” Concrete<br />

International, American Concrete Institute,<br />

Detroit, MI, October 22-27<br />

Mangus, A., (1991) “Construction Activities Inside<br />

<strong>of</strong> Air Structures Protected From <strong>the</strong> <strong>Arc</strong>tic<br />

Environment,” International <strong>Arc</strong>tic Technology<br />

Conference, Society <strong>of</strong> Petroleum Engineers,<br />

Anchorage, AK, May 29-31<br />

Mangus, A, and Shawn, S., (1999) “Chapter 14<br />

Orthotropic Deck Bridges,” Bridge Engineering<br />

Handbook, 1st ed., Chen, W.F., and Duan, L.<br />

Editors, CRC Press, Boca Raton Florida<br />

Mangus, A., (2000) “Existing Movable Bridges<br />

Utilizing Orthotropic Bridge Decks,” 8th Heavy<br />

Movable Bridge Symposium Lake Buena Vista<br />

Florida, Heavy Movable Structures, P. O. Box<br />

398, Middletown, NJ<br />

Merging with Nature – Hoga Kusten [High Coast]<br />

(1998), Bridge Design & Engineering, 10, (1),<br />

50–56<br />

Meaas, P., Lande, E., Vindoy, V., (1994) “Design <strong>of</strong><br />

<strong>the</strong> Salhus Floating Bridge (Nordhordland<br />

Norway),” Strait Crossings 94, Balkema,<br />

Rotterdam ISBN 90-5410 388-4 3(3), 729-734<br />

Pedersen, C., (1997) The Hoga Kusten (High<br />

Coast) Bridge-suspension bridge with 1210 m<br />

main span –construction <strong>of</strong> <strong>the</strong> superstructure,<br />

Mondberg & Thorsen A/S Copenhagen,<br />

Denmark<br />

Rosignoli, M.,(1999) Launched Bridges –<br />

Prestressed Concrete Bridges built on <strong>the</strong><br />

ground and launched into <strong>the</strong>ir final position,<br />

ASCE Press, Reston, VA<br />

Stepanov, G. M., (1991), “Design <strong>of</strong> Movable<br />

Bridges,” Structural Engineering International,<br />

IABSE, Zurich, Switzerland, Volume 1,<br />

Number 1, 9-1<br />

Surovtsev, V., Pimenov, S., Seliverstov, V., &<br />

Iourkine, S, (2000) “Development <strong>of</strong> Structural<br />

Forms and Analysis <strong>of</strong> Steel Box Girders with<br />

inclined webs for operation and erection conditions”<br />

Giprotransmost J.S.Co, Pavla<br />

Kortchagina str. 2, 129278 Moscow, Russian<br />

Federation<br />

Troitsky, M. S., (1987) Orthotropic Bridges - Theory<br />

and Design, 2nd ed., The <strong>James</strong> F. <strong>Lincoln</strong> <strong>Arc</strong><br />

<strong>Welding</strong> <strong>Foundation</strong>, Cleveland, OH<br />

6 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


Design File<br />

Designing Fillet Welds for Skewed T-joints—Part 1<br />

Practical Ideas for <strong>the</strong> Design Pr<strong>of</strong>essional by Duane K. Miller, Sc.D., P.E.<br />

Introduction<br />

Detailing fillet welds for 90-degree T-joints is a fairly<br />

straightforward activity. Take <strong>the</strong> 90-degree T-joint and skew<br />

it—that is, rotate <strong>the</strong> upright member so as to create an<br />

acute and obtuse orientation, and <strong>the</strong> resultant geometry<br />

<strong>of</strong> <strong>the</strong> fillet welds becomes more complicated (see Figure<br />

1). The greater <strong>the</strong> degree <strong>of</strong> rotation, <strong>the</strong> greater <strong>the</strong> difference<br />

as compared to <strong>the</strong> 90-degree counterpart.<br />

A series <strong>of</strong> equations can be used to determine weld sizes<br />

for various angular orientations and required throat dimensions.<br />

Since <strong>the</strong> weld sizes on ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong> joint are<br />

not necessarily required to be <strong>of</strong> <strong>the</strong> same size, <strong>the</strong>re are a<br />

variety <strong>of</strong> combinations that can be used to transfer <strong>the</strong><br />

loads across <strong>the</strong> joint. While <strong>the</strong>re are <strong>the</strong>oretical savings<br />

to be seen by optimizing <strong>the</strong> combinations <strong>of</strong> weld sizes,<br />

rarely do such efforts result in a change in fillet weld size <strong>of</strong><br />

even one standard size.<br />

Codes prescribe different methods <strong>of</strong> indicating <strong>the</strong><br />

required weld size. These are summarized herein.<br />

When acute angles become smaller, <strong>the</strong> difficulty <strong>of</strong><br />

achieving a quality weld in <strong>the</strong> root increases. The AWS<br />

D1.1 Structural <strong>Welding</strong> Code deals with this issue by<br />

requiring <strong>the</strong> consideration <strong>of</strong> a Z-loss factor.<br />

This edition <strong>of</strong> Design File addresses <strong>the</strong> situation where<br />

<strong>the</strong> end <strong>of</strong> <strong>the</strong> upright member in <strong>the</strong> skewed T-joint is parallel<br />

to <strong>the</strong> surface <strong>of</strong> <strong>the</strong> o<strong>the</strong>r member. A future Design<br />

File column will consider <strong>the</strong> situation in which <strong>the</strong> upright<br />

member has a square cut on <strong>the</strong> end, resulting in a gap on<br />

<strong>the</strong> obtuse side. Also to be addressed in <strong>the</strong> future are<br />

weld options o<strong>the</strong>r than fillet welds in skewed T-joints.<br />

LEG<br />

SIZE<br />

DIHEDRAL ANGLE<br />

0<br />

135 MAX<br />

ω 2<br />

ω 1<br />

ψ 2<br />

ω ψ 1<br />

1<br />

f 2<br />

ω 2<br />

b 2 b 1<br />

f 1<br />

t 2<br />

t 1<br />

b 2<br />

b 1<br />

Figure 1. Equal throat sizes (t 1 = t 2 ).<br />

DIHEDRAL<br />

ANGLE<br />

0<br />

60 MIN<br />

The Geometry<br />

Figure 1 provides a visual representation <strong>of</strong> <strong>the</strong> issue. For<br />

<strong>the</strong> 90-degree orientation, <strong>the</strong> weld throat is 70.7% <strong>of</strong> <strong>the</strong><br />

weld leg dimension. This relationship does not hold true for<br />

fillet welds in skewed joints. On <strong>the</strong> obtuse side, <strong>the</strong> weld<br />

throat is smaller than what would be expected for a fillet<br />

weld <strong>of</strong> a similar leg size in a 90-degree joint, and <strong>the</strong><br />

opposite is <strong>the</strong> case for <strong>the</strong> acute side. These factors must<br />

be considered when <strong>the</strong> fillet weld leg size is determined<br />

and specified.<br />

Careful examination <strong>of</strong> <strong>the</strong> fillet welds on <strong>the</strong> skewed joint<br />

raises this question: What is <strong>the</strong> size <strong>of</strong> <strong>the</strong> fillet weld in a<br />

skewed joint?<br />

LEG<br />

SIZE<br />

Figure 1 illustrates <strong>the</strong> fillet weld leg size for a skewed T-<br />

joint, and is designated by “ω.” This, however, is inconsistent<br />

with AWS Terms and Definitions (AWS A3.0-94) which<br />

defines a “fillet weld leg” as “The distance from <strong>the</strong> joint<br />

root to <strong>the</strong> toe <strong>of</strong> <strong>the</strong> fillet weld.” According to this definition,<br />

and as shown in Figure 1, <strong>the</strong> fillet weld leg is dimension<br />

“b.” The dimension that is labeled “ω” is <strong>the</strong> distance from a<br />

member to a parallel line extended from <strong>the</strong> bottom weld<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 7


toe. While not technically correct according to AWS A3.0, it<br />

is <strong>the</strong> dimension and terminology used when fillet welds in<br />

skewed joints are discussed in <strong>the</strong> AWS D1.1 Structural<br />

<strong>Welding</strong> Code, as well as o<strong>the</strong>r AWS <strong>publication</strong>s (i.e., The<br />

<strong>Welding</strong> Handbook, ninth edition, volume 1). Such terminology<br />

will be used here.<br />

This raises an additional question: What would a weld<br />

inspector actually measure when dealing with a fillet weld<br />

in a skewed T-joint? Conventional fillet weld gauges could<br />

be used to measure <strong>the</strong> obtuse side’s fillet weld leg dimension<br />

“ω” as shown in Figure 1. Dimension “b” would be difficult<br />

to measure directly since <strong>the</strong> location <strong>of</strong> <strong>the</strong> weld root<br />

cannot be easily determined. Welds on <strong>the</strong> acute side are<br />

impossible to measure using conventional fillet weld<br />

gauges. The face dimension “f,” however, <strong>of</strong>fers an easy<br />

alternative: when this dimension is known for <strong>the</strong> weld size<br />

and <strong>the</strong> dihedral angle, <strong>the</strong> welder and inspector can easily<br />

determine what <strong>the</strong> actual size is by using a pair <strong>of</strong><br />

dividers. Alternately, a series <strong>of</strong> simple gauges <strong>of</strong> various<br />

widths could be made to directly compare <strong>the</strong> requirements<br />

to <strong>the</strong> actual weld size. Thus, dimension “f” may be important<br />

for controlling weld sizes in skewed T-joints.<br />

When sizing a fillet weld for 90-degree T-joints or skewed T-<br />

joints, <strong>the</strong> starting point is to determine <strong>the</strong> required throat<br />

size needed to resist <strong>the</strong> applied loads. From <strong>the</strong> throat<br />

dimension, <strong>the</strong> fillet weld leg size can be determined. Three<br />

options will be considered:<br />

Where <strong>the</strong> throat size is <strong>the</strong> same on ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong><br />

joint (see Figure 1)<br />

To determine <strong>the</strong> required fillet weld size for a given throat,<br />

<strong>the</strong> following relationship can be used:<br />

ψ<br />

ω = 2 t sin<br />

(<br />

2<br />

) (1)<br />

The width <strong>of</strong> <strong>the</strong> face <strong>of</strong> <strong>the</strong> weld (“f”) can be found from<br />

this equation:<br />

(2)<br />

f = 2 t tan (<br />

ψ<br />

2 )<br />

Dimension “b,” that is, <strong>the</strong> ‘true’ fillet leg size, can be found<br />

from this relationship: t<br />

b =<br />

cos (<br />

ψ<br />

2 )<br />

(3)<br />

Finally, <strong>the</strong> cross-sectional area <strong>of</strong> <strong>the</strong> weld metal can be<br />

determined from <strong>the</strong> following:<br />

A = t 2 tan (<br />

ψ<br />

2 )<br />

(4)<br />

Where <strong>the</strong> leg size is <strong>the</strong> same on both sides<br />

(see Figure 2)<br />

If <strong>the</strong> designer decides to make both welds with <strong>the</strong> same<br />

leg size (as is illustrated in figure 2), <strong>the</strong> first required step<br />

is to determine <strong>the</strong> composite total dimension <strong>of</strong> <strong>the</strong> two<br />

8 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002<br />

ω 2<br />

b<br />

ω 1<br />

b<br />

b<br />

t 2<br />

Figure 2. Equal fillet weld leg sizes (ω 1 = ω 2 ).<br />

throat sizes. This dimension “t T ” is <strong>the</strong>n inserted into <strong>the</strong> following<br />

equations to determine <strong>the</strong> two throats “t 1 ” and “t 2 .”<br />

ψ<br />

cos<br />

t 1<br />

= t T<br />

(<br />

1<br />

2 )<br />

ψ<br />

cos (<br />

1<br />

)<br />

ψ<br />

+ cos (<br />

2<br />

)<br />

2<br />

ψ<br />

cos<br />

t 2<br />

= t T<br />

(<br />

2<br />

2 )<br />

ψ<br />

cos (<br />

1<br />

)<br />

ψ<br />

+ cos (<br />

2<br />

)<br />

2<br />

Equations 1 – 4 can be used to find <strong>the</strong> corresponding fillet<br />

weld leg size, face dimension, “b” dimension, and crosssectional<br />

area. These calculations will be made using <strong>the</strong><br />

applicable throat dimension “t” determined from equations<br />

5 and 6, not <strong>the</strong> total throat dimension “t T ” used in equations<br />

5 and 6.<br />

Where a minimum quantity <strong>of</strong> weld metal is used<br />

(see Figure 3)<br />

Even a casual review <strong>of</strong> Figure 1 shows that, when fillet<br />

weld leg sizes are specified to be <strong>of</strong> <strong>the</strong> same size on<br />

ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong> skewed T-joint, <strong>the</strong> use <strong>of</strong> weld metal is<br />

as efficient as could be. Minimum weld metal can be<br />

obtained by taking advantage <strong>of</strong> <strong>the</strong> more favorable condition<br />

that results on <strong>the</strong> acute side where a greater weld<br />

throat can be obtained for <strong>the</strong> same quantity <strong>of</strong> metal that<br />

would be placed on <strong>the</strong> obtuse side.<br />

To minimize <strong>the</strong> volume <strong>of</strong> weld metal used in <strong>the</strong> combination<br />

<strong>of</strong> <strong>the</strong> two welds, <strong>the</strong> following equations may be used<br />

once <strong>the</strong> total throat dimension “t T ” is known:<br />

t 1<br />

=<br />

t 2<br />

=<br />

1 + tan 2 (<br />

1 + tan 2 (<br />

t T<br />

ψ1<br />

)<br />

t T<br />

2<br />

ψ2<br />

)<br />

2<br />

t 1<br />

b<br />

2<br />

2<br />

(5)<br />

(6)<br />

(7)<br />

(8)


Although <strong>the</strong> preceding calculations are not particularly difficult,<br />

Table 1 has been provided to simplify <strong>the</strong> process.<br />

Columns A and B are used to determine fillet weld leg<br />

sizes and face widths for various dihedral angles. To obtain<br />

<strong>the</strong> required fillet weld size, <strong>the</strong> calculated throat is multiplied<br />

by <strong>the</strong> factor in Column A. Face widths can be found<br />

following <strong>the</strong> same procedure.<br />

t 2<br />

b 2<br />

b 1<br />

t 1<br />

If <strong>the</strong> same leg size is desired on ei<strong>the</strong>r side <strong>of</strong> <strong>the</strong> joint,<br />

columns C-E are used. In this case <strong>the</strong> total weld throat “t T ”<br />

is used, as opposed to what was done with columns<br />

A and B.<br />

For <strong>the</strong> minimum weld volume, columns F–H can be used.<br />

Again, <strong>the</strong> total weld throat “t T ” is used.<br />

As will be discussed below, for dihedral angles <strong>of</strong> 30–60<br />

degrees, <strong>the</strong> D1.1 Code requries <strong>the</strong> application <strong>of</strong> a Z-loss<br />

factor. Thus, <strong>the</strong> values in Table 1 that apply to dihedral angles<br />

where this applies are shown in blue numbers to remind <strong>the</strong><br />

user to incorporate this factor into <strong>the</strong> weld throat sizes.<br />

b 2<br />

b 1<br />

Figure 3. Minimum weld volume.<br />

Influence <strong>of</strong> Dihedral Angle<br />

AWS D1.1 Structural <strong>Welding</strong> Code–Steel provides for five<br />

groupings <strong>of</strong> skewed T-joints, depending on <strong>the</strong> range <strong>of</strong><br />

sizes <strong>of</strong> <strong>the</strong> dihedral angle: a) Obtuse angles greater than<br />

100 degrees, b) angles <strong>of</strong> 80–100 degrees, c) acute angles<br />

<strong>of</strong> 60–80 degrees, d) acute angles <strong>of</strong> 30–60 degrees, and<br />

e) acute angles <strong>of</strong> less than 30 degrees. Each is dealt with<br />

in a slightly different manner.<br />

Dihedral Angle<br />

Leg & Face Dimensions<br />

Multipy by t<br />

Table 1.<br />

Same Leg Size<br />

Multipy by t T<br />

Minimum Weld Volume<br />

Multipy by t T<br />

Ψ A B C D E F G H<br />

phi1 deg leg size face width throat leg size face width throat leg size face width<br />

30 0.517 0.536 0.788 0.408 0.422 0.933 0.483 0.536<br />

35 0.601 0.630 0.760 0.457 0.479 0.910 0.547 0.630<br />

40 0.684 0.728 0.733 0.501 0.533 0.883 0.604 0.728<br />

45 0.765 0.828 0.707 0.541 0.585 0.854 0.653 0.828<br />

50 0.845 0.932 0.682 0.576 0.635 0.822 0.694 0.932<br />

55 0.923 1.04 0.657 0.607 0.684 0.787 0.726 1.04<br />

60 1.00 1.15 0.634 0.634 0.731 0.750 0.750 1.15<br />

65 1.07 1.27 0.611 0.656 0.778 0.712 0.764 1.27<br />

70 1.15 1.40 0.588 0.674 0.823 0.671 0.770 1.40<br />

75 1.22 1.53 0.566 0.689 0.868 0.630 0.766 1.53<br />

80 1.29 1.68 0.544 0.699 0.912 0.587 0.755 1.68<br />

85 1.35 1.83 0.522 0.705 0.956 0.544 0.735 1.83<br />

90 1.41 2.00 0.500 0.707 0.999 0.500 0.707 2.00<br />

95 1.47 2.18 0.478 0.705 1.043 0.457 0.673 2.18<br />

100 1.53 2.38 0.456 0.699 1.087 0.414 0.633 2.38<br />

105 1.59 2.60 0.434 0.689 1.131 0.371 0.589 2.60<br />

110 1.64 2.85 0.412 0.675 1.175 0.329 0.540 2.85<br />

115 1.69 3.14 0.389 0.656 1.221 0.289 0.488 3.14<br />

120 1.73 3.46 0.366 0.634 1.267 0.250 0.434 3.46<br />

125 1.77 3.84 0.343 0.608 1.314 0.214 0.379 3.84<br />

130 1.81 4.28 0.318 0.577 1.363 0.179 0.324 4.28<br />

135 1.85 4.82 0.293 0.542 1.413 0.147 0.271 4.82<br />

140 1.88 5.48 0.267 0.502 1.465 0.117 0.221 5.48<br />

145 1.91 6.33 0.240 0.458 1.519 0.091 0.173 6.33<br />

150 1.93 7.44 0.212 0.409 1.576 0.067 0.130 7.44<br />

Blue numbers indicate that Z-loss factors must be considered.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 9


Obtuse angles greater than 100 degrees<br />

For this category, contract drawings should show <strong>the</strong><br />

required effective throat. Shop drawings are to show <strong>the</strong><br />

required leg dimension, calculated with equation 1, or by<br />

using columns C or D <strong>of</strong> Table 1 (AWS D1.1-2002, para<br />

2.2.5.2, 2.3.3.2).<br />

Angles <strong>of</strong> 80–100 degrees<br />

For this group, shop drawings are required to show <strong>the</strong><br />

fillet leg size (AWS D1.1-2002, para 2.2.5.2). While not<br />

specifically stated in <strong>the</strong> code, <strong>the</strong> assumption is that<br />

contract drawings also show this dimension.<br />

Angles <strong>of</strong> 60–80 degrees<br />

For this category, contract drawings should show <strong>the</strong><br />

required effective throat. Shop drawings are to show <strong>the</strong><br />

required leg dimension (AWS D1.1-2002, para 2.2.5.2,<br />

2.3.3.2)<br />

Angles <strong>of</strong> 30–60 degrees<br />

Contract drawings are to show <strong>the</strong> effective throat. Shop<br />

drawings are required to “show <strong>the</strong> required leg dimensions<br />

to satisfy <strong>the</strong> required effective throat, increased by <strong>the</strong> Z-<br />

loss allowance ... ” (AWS D1.1-2002, para 2.2.5.2, 2.3.3.3).<br />

The Z-loss factor is used to account for <strong>the</strong> likely incidence<br />

<strong>of</strong> poor quality welding in <strong>the</strong> root <strong>of</strong> a joint with a small<br />

included angle. The amount <strong>of</strong> poor quality weld in <strong>the</strong> root<br />

<strong>of</strong> <strong>the</strong> joint is a function <strong>of</strong> <strong>the</strong> dihedral angle, <strong>the</strong> welding<br />

process, and <strong>the</strong> position <strong>of</strong> welding. Table 2.2 <strong>of</strong> D1.1<br />

summarizes this data as contained below:<br />

Table 2. Z-loss dimension.<br />

60 o >Ψ > 45 o FCAW-S 1/8 3 FCAW-S 0 0<br />

FCAW-G 1/8 3 FCAW-G 0 0<br />

Position <strong>of</strong> <strong>Welding</strong> Position <strong>of</strong> <strong>Welding</strong><br />

V or OH<br />

H or F<br />

Dihedral Angle Ψ Process Z (in.) Z (mm) Process Z (in.) Z (mm)<br />

SMAW 1/8 3 SMAW 1/8 3<br />

GMAW N/A N/A GMAW 0 0<br />

45 o >Ψ > 30 o<br />

SMAW 1/4 6 SMAW 1/4 6<br />

FCAW-S 1/4 6 FCAW-S 1/8 3<br />

FCAW-G 3/8 10 FCAW-G 1/4 6<br />

GMAW N/A N/A GMAW 1/4 6<br />

Once <strong>the</strong> Z-loss dimension has been determined, it is added<br />

to <strong>the</strong> required throat dimension. Even though part <strong>of</strong> <strong>the</strong><br />

weld in <strong>the</strong> root is considered to be <strong>of</strong> such poor quality as<br />

to be incapable <strong>of</strong> transferring stress, <strong>the</strong> resultant weld will<br />

contain sufficient quality weld metal to permit <strong>the</strong> transfer <strong>of</strong><br />

imposed loads. Figure 4 illustrates this concept.<br />

The data in Table 1 that applies to dihedral angles <strong>of</strong><br />

30–60 degrees has been shown in blue numbers because<br />

<strong>the</strong>se values must be modified to account for <strong>the</strong> Z-loss<br />

factors. Such a modification has not been done for <strong>the</strong> data<br />

in <strong>the</strong> Table.<br />

Z<br />

Figure 4. Z-loss.<br />

Acute angles less than 30 degrees<br />

The D1.1 code says that welds in joints with dihedral<br />

angles <strong>of</strong> less than 30 degrees “shall not be considered as<br />

effective in transmitting applied forces …” and <strong>the</strong>n goes<br />

on to discuss a single exception related to tubular structures.<br />

In that exception, with qualification <strong>of</strong> <strong>the</strong> welding<br />

procedure specification, such welds may be used for transferring<br />

applied stresses. For plate (e.g., non-tubular) applications,<br />

such an option is not presented in <strong>the</strong> code.<br />

The practical application <strong>of</strong> this principle is that when welds<br />

are placed on <strong>the</strong> acute side, no capacity is assigned to<br />

<strong>the</strong> weld. Ra<strong>the</strong>r, <strong>the</strong> full load is assumed to be transferred<br />

with <strong>the</strong> weld on <strong>the</strong> obtuse side.<br />

Practical Considerations<br />

The most straightforward, and easiest, approach to determining<br />

<strong>the</strong> required weld size is to assume two welds with<br />

equal throat dimensions will be used, calculate <strong>the</strong><br />

required weld throat dimension, and <strong>the</strong>n calculate <strong>the</strong><br />

required fillet weld leg size, using ei<strong>the</strong>r equation 1 or Table<br />

1, columns A and B. Simple? Yes. Best? Let’s see.<br />

The optimizing method that uses equations 6 and 7 will<br />

result in reduced weld metal volumes. But, reduced how<br />

much? The significance increases with greater rotations<br />

from <strong>the</strong> 90-degree T-joint orientation. For angles <strong>of</strong> 80, 70,<br />

and 60 degrees, <strong>the</strong> differences in weld volume are<br />

approximately 3, 12 and 25%. However, note that <strong>the</strong>se differences<br />

are functions <strong>of</strong> <strong>the</strong> leg size squared. Accordingly,<br />

<strong>the</strong> change in leg size is approximately 1, 6, and 13%. In<br />

practical terms, for dihedral angles between 60 and 120<br />

degrees, <strong>the</strong>re will not be a standard fillet weld leg size<br />

until <strong>the</strong> welds become quite large. In <strong>the</strong> case <strong>of</strong> a 70-<br />

degree dihedral angle, for example, and assuming a 1/8 in.<br />

increment for standard sizing <strong>of</strong> fillet welds over 1 in. leg<br />

size, <strong>the</strong> leg size would need to be 2 in. before <strong>the</strong> optimized<br />

weld size would result in a smaller weld. For a 2 mm<br />

standard size, this would equal a 34 mm fillet.<br />

t<br />

ω<br />

ω<br />

ψ 1<br />

10 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


For angles less than 60 degrees, <strong>the</strong>re can be significant<br />

differences in weld volume. These are situations where <strong>the</strong><br />

Z-loss factor must be considered as well. Thus, for angles<br />

<strong>of</strong> 30–60 degrees, optimization <strong>of</strong> weld size makes sense,<br />

and <strong>the</strong> Z-loss factors can be considered at <strong>the</strong> same time.<br />

It must be recognized that o<strong>the</strong>r code provisions may fur<strong>the</strong>r<br />

affect <strong>the</strong>se results. For example, when optimized for<br />

minimum weld volume, welds on <strong>the</strong> obtuse side may be<br />

smaller than minimum fillet weld sizes as contained in Table<br />

5.8 <strong>of</strong> D1.1. The calculated sizes, if less than <strong>the</strong>se minimums,<br />

must be increased to comply with this requirement.<br />

There does not appear to be any intrinsic value in having<br />

welds on opposite sides <strong>of</strong> <strong>the</strong> skewed T-joint be <strong>of</strong> <strong>the</strong><br />

same size. If this approach is used, <strong>the</strong> resultant weld volumes<br />

will fall somewhere between <strong>the</strong> results for <strong>the</strong> same<br />

sized throat and <strong>the</strong> optimized sizes.<br />

After <strong>the</strong> welds are detailed, <strong>the</strong> joint must be welded.<br />

Practical considerations apply here too. It must be recognized<br />

that <strong>the</strong> ratio <strong>of</strong> <strong>the</strong> face width “f” to <strong>the</strong> throat dimension<br />

“t” constitutes <strong>the</strong> equivalent <strong>of</strong> a width-to-depth ratio<br />

for <strong>the</strong> root pass. On <strong>the</strong> obtuse side, this ratio is large,<br />

exceeding 1:6 for dihedral angle <strong>of</strong> 106 degrees or more. It<br />

is very difficult to get a single weld bead to “wash” out this<br />

wide without electrode manipulation (weaving). On <strong>the</strong><br />

acute side, <strong>the</strong> ratio is less than 1:2 for angles <strong>of</strong> 62<br />

degrees. This can lead to width-to-depth ratio cracking.<br />

Recommendations<br />

When determining fillet weld details for skewed T-joints with<br />

dihedral angles from 60–120 degrees, it rarely matters<br />

which method <strong>of</strong> proportioning <strong>of</strong> weld sizes is used. Using<br />

equal throat dimensions is a straightforward method, similar<br />

to what is typically done for fillet welds on ei<strong>the</strong>r side <strong>of</strong> a<br />

90-degree T-joint. Unless <strong>the</strong> weld size is large, optimizing it<br />

will probably not result in a smaller specified weld size.<br />

For fillet welds on skewed T-joints with dihedral angles from<br />

30–60 degrees, <strong>the</strong> Z-loss factor must be considered.<br />

Based on <strong>the</strong> specific dihedral angle, <strong>the</strong> welding process,<br />

and <strong>the</strong> position <strong>of</strong> welding, <strong>the</strong> Z-loss factor can be determined,<br />

and this dimension added to <strong>the</strong> required weld<br />

throat dimension.<br />

It is important to consider how <strong>the</strong>se dimensions should be<br />

communicated between <strong>the</strong> designer, fabricator, welder and<br />

inspector. The face dimension is a practical means <strong>of</strong> verifying<br />

that <strong>the</strong> proper weld size has been achieved.<br />

Opportunities<br />

<strong>Lincoln</strong> Electric Technical Programs<br />

<strong>Welding</strong> Technology Workshop<br />

June 10-14, 2002<br />

July 29 – August 2, 2002<br />

The purpose <strong>of</strong> this program is to<br />

introduce or enhance knowledge <strong>of</strong><br />

current thinking in arc welding safety,<br />

<strong>the</strong>ory, processes, and practices. The<br />

course is designed primarily for welding<br />

instructors, supervisors and pr<strong>of</strong>essional<br />

welders. Fee: $395.<br />

<strong>Welding</strong> <strong>of</strong> Aluminum Alloys,<br />

Theory and Practice<br />

October 15-18, 2002<br />

Designed for engineers, technologists,<br />

technicians and welders who are<br />

already familiar with basic welding<br />

processes, this technical training<br />

program provides equal amounts <strong>of</strong><br />

classroom time and hands-on welding.<br />

Fee: $595.<br />

Space is limited, so register early to avoid disappointment. For full details, see<br />

www.lincolnelectric.com/knowledge/training/seminars/<br />

Or call 216/383-2240, or write to Registrar, Pr<strong>of</strong>essional Programs, The <strong>Lincoln</strong> Electric<br />

Company, 22801 St. Clair Avenue, Cleveland, OH 44117-1199.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 11


The Fall <strong>of</strong> Skyscrapers<br />

By Henry Petroski<br />

A.S. Vesic Pr<strong>of</strong>essor <strong>of</strong> Civil Engineering<br />

and Pr<strong>of</strong>essor <strong>of</strong> History<br />

Duke University<br />

Durham, North Carolina<br />

Editor’s Note: This article first<br />

appeared in American Scientist,<br />

Volume 90, January-February 2002.<br />

It is reprinted here with permission.<br />

Copyright, Henry Petroski, 2002.<br />

The article is reprinted as written earlier<br />

this year. In <strong>the</strong> ensuing months,<br />

many investigations have been performed,<br />

and <strong>the</strong> level <strong>of</strong> understanding<br />

<strong>of</strong> some <strong>of</strong> <strong>the</strong> technical aspects <strong>of</strong><br />

<strong>the</strong> World Trade Center collapse have<br />

increased. The results <strong>of</strong> <strong>the</strong> FEMA<br />

investigation discussed in this article<br />

are now available at www.house.gov/<br />

science/hot/wtc/wtcreport.htm<br />

The terrorist attacks <strong>of</strong> September 11,<br />

2001, did more than bring down <strong>the</strong><br />

World Trade Center towers. The collapse<br />

<strong>of</strong> those New York City megastructures,<br />

once <strong>the</strong> fifth and sixth<br />

tallest buildings in <strong>the</strong> world, signaled<br />

<strong>the</strong> beginning <strong>of</strong> a new era in <strong>the</strong> planning,<br />

design, construction and use <strong>of</strong><br />

skyscrapers . For <strong>the</strong> foreseeable<br />

future, at least in <strong>the</strong> West, <strong>the</strong>re are<br />

not likely to be any new super-tall<br />

buildings proposed, and only those<br />

currently under construction will be<br />

added to <strong>the</strong> skylines <strong>of</strong> <strong>the</strong> great<br />

cities <strong>of</strong> <strong>the</strong> world. Even <strong>the</strong> continued<br />

occupancy <strong>of</strong> signature skyscrapers<br />

may come under scrutiny by <strong>the</strong>ir<br />

prime tenants.<br />

Since two hijacked airplanes loaded<br />

with jet fuel were crashed within about<br />

15 minutes <strong>of</strong> each o<strong>the</strong>r into <strong>the</strong> two<br />

most prominent and symbolic structures<br />

<strong>of</strong> lower Manhattan, <strong>the</strong> once<br />

reassuringly low numbers generated<br />

by probabilistic risk assessment seem<br />

irrelevant. What happened in New York<br />

ceased being a hypo<strong>the</strong>tical, incredible<br />

or ignorable scenario. From now on,<br />

12 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002<br />

Figure 1. With <strong>the</strong> collapse <strong>of</strong> <strong>the</strong> World Trade Center towers, <strong>the</strong> fate <strong>of</strong> future<br />

skyscraper projects has come into question.<br />

structural engineers must be prepared<br />

to answer harder questions about how<br />

skyscrapers will stand up to <strong>the</strong> impact<br />

<strong>of</strong> jumbo jets and, perhaps more<br />

important, how <strong>the</strong>y will fare in <strong>the</strong><br />

ensuing conflagration. <strong>Arc</strong>hitects will<br />

likely have to respond more to questions<br />

about stairwells and evacuation<br />

routes than to those about facades<br />

and spires. Because <strong>of</strong> <strong>the</strong> nature <strong>of</strong><br />

skyscrapers, nei<strong>the</strong>r engineers nor<br />

architects will be able to find answers<br />

that will satisfy everyone.<br />

Inclination, Not Economy<br />

Although <strong>the</strong> idea <strong>of</strong> <strong>the</strong> skyscraper is<br />

modern, <strong>the</strong> inclination to build upward<br />

is not. The Great Pyramids, with <strong>the</strong>ir<br />

broad bases, reached heights unapproached<br />

for <strong>the</strong> next four millennia.<br />

But even <strong>the</strong> great Gothic ca<strong>the</strong>drals,<br />

crafted <strong>of</strong> bulky stone into an aes<strong>the</strong>tic<br />

<strong>of</strong> lightness and slenderness, are<br />

dwarfed by <strong>the</strong> steel and reinforced<br />

concrete structures <strong>of</strong> <strong>the</strong> 20th century.<br />

It was modern building materials<br />

that made <strong>the</strong> true skyscraper structurally<br />

possible, but it was <strong>the</strong> mechanical<br />

device <strong>of</strong> <strong>the</strong> elevator that made<br />

<strong>the</strong> skyscraper truly practical.<br />

Ironically, it is also <strong>the</strong> elevator that<br />

has had so much to do with limiting<br />

<strong>the</strong> height <strong>of</strong> most tall buildings to<br />

about 70 or 80 stories. Above that,<br />

elevator shafts occupy more than 25<br />

percent <strong>of</strong> <strong>the</strong> volume <strong>of</strong> a tall building,<br />

and so <strong>the</strong> economics <strong>of</strong> renting out<br />

space argues against investing in<br />

greater height.<br />

The World Trade Center towers were<br />

110 stories tall, but even with an elaborate<br />

system <strong>of</strong> local and express elevators,<br />

<strong>the</strong> associated sky lobbies and<br />

utilities located in <strong>the</strong> core still<br />

removed almost 30 percent <strong>of</strong> <strong>the</strong> towers’<br />

floor area from <strong>the</strong> rentable space<br />

category. By all planning estimates,


<strong>the</strong> World Trade Center towers should<br />

have been viewed as a poor investment<br />

and so might not have been<br />

undertaken as a strictly private enterprise.<br />

In fact, it was <strong>the</strong> Port <strong>of</strong> New<br />

York Authority, <strong>the</strong> bi-state governmental<br />

entity now known as <strong>the</strong> Port<br />

Authority <strong>of</strong> New York and New Jersey,<br />

that in <strong>the</strong> 1960s undertook to build<br />

<strong>the</strong> towers. With its ability to issue<br />

bonds, <strong>the</strong> Port Authority could afford<br />

to undertake a financially risky project<br />

that few corporations would dare.<br />

Sometimes private enterprise does<br />

engage in similarly questionable<br />

investments, balancing <strong>the</strong> tangible<br />

financial risk with <strong>the</strong> intangible gain in<br />

publicity, with <strong>the</strong> hope that it will<br />

translate ultimately into pr<strong>of</strong>it. This was<br />

<strong>the</strong> case with <strong>the</strong> Empire State<br />

Building, completed in 1931 and now<br />

<strong>the</strong> seventh tallest building in <strong>the</strong><br />

world. Although it was not heavily<br />

The Port Authority could<br />

undertake a financially risky<br />

project that few corporations<br />

would dare<br />

occupied at first, <strong>the</strong> cachet <strong>of</strong> <strong>the</strong><br />

world’s tallest building made it a prestigious<br />

address and added to its realestate<br />

value. The Sears Tower stands<br />

an impressive 110 stories tall, <strong>the</strong><br />

same count that <strong>the</strong> World Trade<br />

Center towers once claimed. This skyscraper<br />

gained for its owner <strong>the</strong> prestige<br />

<strong>of</strong> having its corporate name<br />

associated with <strong>the</strong> tallest building in<br />

<strong>the</strong> world. The Sears Tower, completed<br />

in 1974, one year after <strong>the</strong> second<br />

World Trade Center tower was finished,<br />

held that title for more than 20<br />

years-until <strong>the</strong> twin Petronas Towers<br />

were completed in Kuala Lumpur,<br />

Malaysia, in 1998, emphasizing <strong>the</strong><br />

rise <strong>of</strong> <strong>the</strong> Far East as <strong>the</strong> location <strong>of</strong><br />

new megastructures.<br />

Building Innovation<br />

It is not only <strong>the</strong> innovative use <strong>of</strong> elevators,<br />

marketing and political will that<br />

has enabled super-tall buildings to be<br />

built. A great deal <strong>of</strong> <strong>the</strong> cost <strong>of</strong> such a<br />

structure is in <strong>the</strong> amount <strong>of</strong> materials<br />

it contains, so lightening <strong>the</strong> structure<br />

lowers its cost. Innovative uses <strong>of</strong><br />

building materials can also give a skyscraper<br />

more desirable <strong>of</strong>fice space.<br />

Now more than 70 years old, <strong>the</strong> steel<br />

frame <strong>of</strong> <strong>the</strong> Empire State Building has<br />

closely spaced columns, which break<br />

up <strong>the</strong> floor space and limit <strong>of</strong>fice layouts.<br />

In contrast, <strong>the</strong> World Trade<br />

Center employed a tubular-construction<br />

principle, in which closely spaced<br />

steel columns were located around <strong>the</strong><br />

periphery <strong>of</strong> <strong>the</strong> building. Sixty-footlong<br />

steel trusses spanned between<br />

<strong>the</strong>se columns and <strong>the</strong> inner structure<br />

<strong>of</strong> <strong>the</strong> towers, where fur<strong>the</strong>r columns<br />

were located, along with <strong>the</strong> elevator<br />

shafts, stairwells and o<strong>the</strong>r non-exclusive<br />

<strong>of</strong>fice space. Between <strong>the</strong> core<br />

and tube proper, <strong>the</strong> broad columnless<br />

space enabled open, imaginative<br />

and attractive <strong>of</strong>fice layouts.<br />

The tubular concept was not totally<br />

new with <strong>the</strong> World Trade Center, it<br />

having been used in <strong>the</strong> diagonally<br />

braced and tapered John Hancock<br />

Center, completed in Chicago in 1969.<br />

The Sears Tower is also a tubular<br />

structure, but it consists <strong>of</strong> nine 75-<br />

foot(23-meter)-square tubes bundled<br />

toge<strong>the</strong>r at <strong>the</strong> lower stories. The varying<br />

heights <strong>of</strong> <strong>the</strong> tubes give <strong>the</strong> Sears<br />

Tower an ever-changing look, as it presents<br />

a different pr<strong>of</strong>ile when viewed<br />

from <strong>the</strong> different directions from<br />

which one approaches it when driving<br />

<strong>the</strong> city’s expressways. When new to<br />

<strong>the</strong> Manhattan skyline, <strong>the</strong> unrelieved<br />

209-foot(64-meter)-square plans and<br />

unbroken 1,360-foot(415-meter)-high<br />

pr<strong>of</strong>iles <strong>of</strong> <strong>the</strong> twin World Trade Center<br />

buildings came in for considerable<br />

architectural criticism for <strong>the</strong>ir lack <strong>of</strong><br />

character. Like <strong>the</strong> Sears Tower, however,<br />

when viewed from different<br />

angles, <strong>the</strong> buildings, especially as<br />

<strong>the</strong>y played <strong>of</strong>f against each o<strong>the</strong>r,<br />

enjoyed a great aes<strong>the</strong>tic synergy. The<br />

view <strong>of</strong> <strong>the</strong> towers from <strong>the</strong> walkway <strong>of</strong><br />

<strong>the</strong> Brooklyn Bridge was especially<br />

striking, with <strong>the</strong> stark twin monoliths<br />

echoing <strong>the</strong> twin Gothic arches <strong>of</strong> <strong>the</strong><br />

bridge’s towers.<br />

Although <strong>the</strong> World Trade Center towers<br />

did look like little more than tall<br />

prisms from afar, <strong>the</strong> play <strong>of</strong> <strong>the</strong> everchanging<br />

sunlight on <strong>the</strong>ir aluminumclad<br />

columns made <strong>the</strong>m new<br />

buildings by <strong>the</strong> minute. From a closer<br />

perspective, <strong>the</strong> multiplicity <strong>of</strong> unbroken<br />

columns corseting each building<br />

also gave it an architectural texture.<br />

The tubular concept<br />

was not totally new<br />

with <strong>the</strong> WTC<br />

The close spacing <strong>of</strong> <strong>the</strong> columns was<br />

dictated by <strong>the</strong> desire to make <strong>the</strong><br />

structure as nearly a perfect tube as<br />

possible. A true tube, like a straw,<br />

would be unpunctured by peripheral<br />

openings, but since skyscrapers are<br />

inhabited by people, windows are considered<br />

a psychological must. At <strong>the</strong><br />

same time, too-large windows in very<br />

tall buildings can give some occupants<br />

an uneasy feeling. The compromise<br />

struck in <strong>the</strong> World Trade Center was<br />

to use tall but narrow windows<br />

between <strong>the</strong> steel columns. In fact, <strong>the</strong><br />

width <strong>of</strong> <strong>the</strong> window openings was<br />

said to be less than <strong>the</strong> width <strong>of</strong> a person’s<br />

shoulders, which was intended<br />

by <strong>the</strong> designers to provide a measure<br />

<strong>of</strong> reassurance to <strong>the</strong> occupants.<br />

Since <strong>the</strong> terrorist attack, however,<br />

one <strong>of</strong> <strong>the</strong> most haunting images <strong>of</strong><br />

those windows is <strong>of</strong> so many people<br />

standing sideways in <strong>the</strong> openings,<br />

clinging to <strong>the</strong> columns and, ultimately,<br />

falling, jumping or being carried to<br />

<strong>the</strong>ir death.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 13


Failure Analyses<br />

Terrorists first attempted to bring <strong>the</strong><br />

World Trade Center towers down in<br />

1993, when a truck bomb exploded in<br />

<strong>the</strong> lower-level public garage, at <strong>the</strong><br />

base <strong>of</strong> <strong>the</strong> north tower. Power was<br />

lost in <strong>the</strong> tower and smoke rose<br />

through it. It was speculated that <strong>the</strong><br />

terrorists were attempting to topple <strong>the</strong><br />

north tower into <strong>the</strong> south one, but<br />

even though several floors <strong>of</strong> <strong>the</strong><br />

garage were blown out, <strong>the</strong> structure<br />

stood. There was some concern<br />

among engineers <strong>the</strong>n that <strong>the</strong> basement<br />

columns, no longer braced by<br />

<strong>the</strong> garage floors, would buckle, and<br />

so <strong>the</strong>y were fitted with steel bracing<br />

before <strong>the</strong> recovery work proceeded.<br />

After that attack, access to <strong>the</strong> underground<br />

garage was severely restricted,<br />

and security in <strong>the</strong> towers was considerably<br />

increased. No doubt <strong>the</strong> 1993<br />

bombing was on <strong>the</strong> minds <strong>of</strong> many<br />

people when <strong>the</strong> airplanes struck <strong>the</strong><br />

towers last September.<br />

As <strong>the</strong>y had in <strong>the</strong> earlier bombing, <strong>the</strong><br />

World Trade Center towers clearly survived<br />

<strong>the</strong> impact <strong>of</strong> <strong>the</strong> Boeing 767 airliners.<br />

Given <strong>the</strong> proven robustness <strong>of</strong><br />

<strong>the</strong> structures to <strong>the</strong> earlier bombing<br />

assault, <strong>the</strong> thought that <strong>the</strong> buildings<br />

might actually collapse was probably<br />

far from <strong>the</strong> minds <strong>of</strong> many <strong>of</strong> those<br />

The survival <strong>of</strong> <strong>the</strong> WTC<br />

after <strong>the</strong> 1993 bombing<br />

seems to have given<br />

an unwarranted sense<br />

<strong>of</strong> security<br />

who were working in <strong>the</strong>m on September<br />

11. It certainly appears not to have<br />

been feared by <strong>the</strong> police and fire<br />

fighters who rushed in to save people<br />

and extinguish <strong>the</strong> fires. Indeed, <strong>the</strong><br />

survival <strong>of</strong> <strong>the</strong> World Trade Center<br />

after <strong>the</strong> 1993 bombing seems to have<br />

given an unwarranted sense <strong>of</strong> security<br />

that <strong>the</strong> buildings could withstand<br />

even <strong>the</strong> inferno created by <strong>the</strong> estimated<br />

20,000 gallons (76,000 liters) <strong>of</strong><br />

jet fuel that each plane carried. (That<br />

amount <strong>of</strong> fuel has been estimated to<br />

have an energy content equivalent to<br />

about 2.4 million sticks <strong>of</strong> dynamite.)<br />

Steel buildings are expected to be firepro<strong>of</strong>ed,<br />

and so <strong>the</strong> World Trade<br />

Center towers were. However, firepro<strong>of</strong>ing<br />

is a misnomer, for it only insulates<br />

<strong>the</strong> steel from <strong>the</strong> heat <strong>of</strong> <strong>the</strong> fire<br />

for a limited period, which is supposed<br />

to be enough time to allow for <strong>the</strong> fire<br />

to be brought under control, if not<br />

extinguished entirely. Unfortunately, jet<br />

fuel burns at a much higher temperature<br />

than would a fire fed by normal<br />

construction materials and <strong>the</strong> customary<br />

furniture and contents found in an<br />

<strong>of</strong>fice building. Fur<strong>the</strong>rmore, conventional<br />

fire-fighting means, such as<br />

water, have little effect on burning jet<br />

fuel. The World Trade Center fire, estimated<br />

to have produced temperatures<br />

as high as <strong>of</strong> <strong>the</strong> order <strong>of</strong> <strong>the</strong> melting<br />

point <strong>of</strong> steel, continued unabated. It<br />

has been speculated that some <strong>of</strong> <strong>the</strong><br />

steel beams and columns <strong>of</strong> <strong>the</strong> structure<br />

that were not destroyed by <strong>the</strong><br />

impact eventually may have been<br />

heated close to if not beyond <strong>the</strong>ir<br />

melting point, but this appears to have<br />

been unlikely.<br />

Even if it did not melt, <strong>the</strong> prolonged<br />

elevated temperatures caused <strong>the</strong><br />

steel to expand, s<strong>of</strong>ten, sag, bend and<br />

creep. The intense heat also caused<br />

<strong>the</strong> concrete floor, no longer adequately<br />

supported by <strong>the</strong> steel beams and<br />

columns in place before <strong>the</strong> impact <strong>of</strong><br />

<strong>the</strong> airplane, to crack, spall and break<br />

up, compromising <strong>the</strong> synergistic<br />

action <strong>of</strong> <strong>the</strong> parts <strong>of</strong> <strong>the</strong> structure.<br />

Without <strong>the</strong> stabilizing effect <strong>of</strong> <strong>the</strong> stiff<br />

floors, <strong>the</strong> steel columns still intact<br />

became less and less able to sustain<br />

<strong>the</strong> load <strong>of</strong> <strong>the</strong> building above <strong>the</strong>m.<br />

When <strong>the</strong> weight <strong>of</strong> <strong>the</strong> portion <strong>of</strong> <strong>the</strong><br />

building above became too much for<br />

<strong>the</strong> locally damaged and s<strong>of</strong>tened<br />

structure to withstand, it collapsed<br />

onto <strong>the</strong> floors below. The impact <strong>of</strong><br />

<strong>the</strong> falling top <strong>of</strong> <strong>the</strong> building on <strong>the</strong><br />

lower floors, whose steel columns<br />

were also s<strong>of</strong>tened by heat transfer<br />

along <strong>the</strong>m, caused <strong>the</strong>m to collapse<br />

in turn, creating an unstoppable chain<br />

reaction. The tower that was struck<br />

second failed first in part because <strong>the</strong><br />

plane hit lower, leaving a greater<br />

weight to be supported above <strong>the</strong><br />

damaged area. (The collapse <strong>of</strong> <strong>the</strong><br />

lower floors <strong>of</strong> <strong>the</strong> towers under <strong>the</strong><br />

falling weight <strong>of</strong> <strong>the</strong> upper floors<br />

occurred for <strong>the</strong> same reason that a<br />

book easily supported on a glass table<br />

can break that same table if dropped<br />

on it from a sufficient height.)<br />

Within days <strong>of</strong> <strong>the</strong> collapse <strong>of</strong> <strong>the</strong> towers,<br />

failure analyses appeared on <strong>the</strong><br />

Internet and in engineering classrooms.<br />

Perhaps <strong>the</strong> most widely circulated<br />

were <strong>the</strong> mechanics-based<br />

analysis <strong>of</strong> Zdenek Bazant <strong>of</strong><br />

Northwestern University and <strong>the</strong> energy<br />

approach <strong>of</strong> Thomas Mackin <strong>of</strong> <strong>the</strong><br />

University <strong>of</strong> Illinois at Urbana-<br />

Champaign. Each <strong>of</strong> <strong>the</strong>se estimated<br />

that <strong>the</strong> falling upper structure <strong>of</strong> a<br />

World Trade Center tower exerted on<br />

<strong>the</strong> lower structure a force some 30<br />

times what it had once supported.<br />

Charles Clifton, a New Zealand structural<br />

engineer, argues that <strong>the</strong> fire was<br />

not <strong>the</strong> principal cause <strong>of</strong> <strong>the</strong> collapse.<br />

He thinks that it was <strong>the</strong> damaged<br />

core ra<strong>the</strong>r than <strong>the</strong> exterior tube<br />

columns that succumbed first to <strong>the</strong><br />

enormous load from above. Once <strong>the</strong><br />

core support was lost on <strong>the</strong> impacted<br />

floors, <strong>the</strong>re was no stopping <strong>the</strong> progressive<br />

collapse, which was largely<br />

channeled by <strong>the</strong> structural tube to<br />

occur in a vertical direction. In <strong>the</strong><br />

wake <strong>of</strong> <strong>the</strong> World Trade Center disaster,<br />

<strong>the</strong> immediate concerns were, <strong>of</strong><br />

course, to rescue as many people as<br />

might have survived. Unfortunately,<br />

even to recover most <strong>of</strong> <strong>the</strong> bodies<br />

proved an ultimately futile effort. The<br />

twin towers were gigantic structures.<br />

Each floor <strong>of</strong> each building encompassed<br />

an acre, and <strong>the</strong> towers<br />

enclosed 60 million cubic feet each.<br />

Toge<strong>the</strong>r, <strong>the</strong>y contained 200,000 tons<br />

<strong>of</strong> steel and 425,000 cubic yards (325<br />

cubic meters) or about 25,000 tons <strong>of</strong><br />

concrete. The pile <strong>of</strong> debris in some<br />

places reached as high as a ten-story<br />

building. A month after <strong>the</strong> terrorist<br />

14 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


attack, it was estimated that only 15<br />

percent <strong>of</strong> <strong>the</strong> debris had been<br />

removed, and it was estimated that it<br />

would take a year to clear <strong>the</strong> site.<br />

Forensic Engineering<br />

Among <strong>the</strong> concerns engineers had<br />

about <strong>the</strong> clean-up operation was how<br />

<strong>the</strong> removal <strong>of</strong> debris might affect <strong>the</strong><br />

stability <strong>of</strong> <strong>the</strong> ground around <strong>the</strong> site.<br />

Because <strong>the</strong> land on which <strong>the</strong> World<br />

Trade Center was built had been part<br />

<strong>of</strong> <strong>the</strong> Hudson River, an innovative<br />

barrier had to be developed at <strong>the</strong><br />

time <strong>of</strong> construction to prevent river<br />

water from flowing into <strong>the</strong> basement<br />

<strong>of</strong> <strong>the</strong> structures. This was done with<br />

<strong>the</strong> construction <strong>of</strong> a slurry wall, in<br />

which <strong>the</strong> water was held back by a<br />

deep trench filled with a mudlike mixture<br />

until a hardened concrete barrier<br />

was in place. The completed structure<br />

provided a watertight enclosure, which<br />

came to be known as <strong>the</strong> “bathtub”<br />

within which <strong>the</strong> World Trade Center<br />

was built. The basement floors <strong>of</strong> <strong>the</strong><br />

twin towers acted to stabilize <strong>the</strong> bathtub,<br />

but <strong>the</strong>se were crushed when <strong>the</strong><br />

towers broke up and collapsed into <strong>the</strong><br />

enclosure. Early indications were that<br />

<strong>the</strong> bathtub remained intact, but in<br />

order to be sure its walls do not collapse<br />

when <strong>the</strong> last <strong>of</strong> <strong>the</strong> debris and<br />

thus all <strong>the</strong> internal support is<br />

removed, vulnerable sections <strong>of</strong> <strong>the</strong><br />

concrete wall were being tied back to<br />

<strong>the</strong> bedrock under <strong>the</strong> site even as <strong>the</strong><br />

debris removal was proceeding.<br />

Atop <strong>the</strong> pile <strong>of</strong> debris, <strong>the</strong> steel<br />

beams and columns were <strong>the</strong> largest<br />

and most recognizable parts in <strong>the</strong><br />

wreckage. The concrete, sheetrock<br />

and firepro<strong>of</strong>ing that were in <strong>the</strong> building<br />

were largely pulverized by <strong>the</strong> collapsing<br />

structure, as evidenced by <strong>the</strong><br />

ubiquitous dust present in <strong>the</strong> aftermath.<br />

(A significant amount <strong>of</strong><br />

asbestos was apparently used only in<br />

<strong>the</strong> lower floors <strong>of</strong> one <strong>of</strong> <strong>the</strong> towers,<br />

bad publicity about <strong>the</strong> material having<br />

accelerated during <strong>the</strong> construction <strong>of</strong><br />

<strong>the</strong> World Trade Center. Never<strong>the</strong>less,<br />

in <strong>the</strong> days after <strong>the</strong> collapse, <strong>the</strong><br />

All <strong>of</strong> <strong>the</strong> speculations<br />

about <strong>the</strong> mechanism<br />

<strong>of</strong> collapse are in fact<br />

hypo<strong>the</strong>ses<br />

once-intolerant Environmental<br />

Protection Agency declared <strong>the</strong> air<br />

safe.) The grille-like remains <strong>of</strong> <strong>the</strong><br />

buildings’ facades, towering precariously<br />

over what came to be known as<br />

Ground Zero, became a most eerie<br />

image. Though many argued for leaving<br />

<strong>the</strong>se ca<strong>the</strong>dral wall-like skeletons<br />

standing as memorials to <strong>the</strong> dead,<br />

<strong>the</strong>y posed a hazard to rescue workers<br />

and were in time torn down and<br />

carted away for possible future reuse<br />

in a reconstructed memorial. As is<br />

<strong>of</strong>ten <strong>the</strong> case following such a<br />

tragedy, <strong>the</strong>re was also some disagreement<br />

about how to treat <strong>the</strong><br />

wreckage generally. Early on, <strong>the</strong>re<br />

was clearly a need to remove as much<br />

<strong>of</strong> it from <strong>the</strong> site as quickly as possible<br />

so that what survivors <strong>the</strong>re might<br />

be could be uncovered. This necessitated<br />

cutting up steel columns into<br />

sections that could fit on large flatbed<br />

trucks. Even <strong>the</strong> disposal <strong>of</strong> <strong>the</strong> wreckage<br />

presented a problem. Much <strong>of</strong> <strong>the</strong><br />

steel was marked for immediate recycling,<br />

but forensic engineers worried<br />

that valuable clues to exactly how <strong>the</strong><br />

structures collapsed would be lost.<br />

All <strong>of</strong> <strong>the</strong> speculations <strong>of</strong> engineers<br />

about <strong>the</strong> mechanism <strong>of</strong> <strong>the</strong> collapse<br />

are in fact hypo<strong>the</strong>ses, <strong>the</strong>ories <strong>of</strong><br />

what might have happened. Although<br />

computer models will no doubt be constructed<br />

to test those hypo<strong>the</strong>ses and<br />

<strong>the</strong>ories, actual pieces <strong>of</strong> <strong>the</strong> wreckage<br />

may provide <strong>the</strong> most convincing<br />

confirmation that <strong>the</strong> collapse <strong>of</strong> <strong>the</strong><br />

structures did in fact progress as<br />

hypo<strong>the</strong>sized. Though <strong>the</strong> wreckage<br />

may appear to be hopelessly jumbled<br />

and crushed, telltale clues can survive<br />

among <strong>the</strong> debris. Pieces <strong>of</strong> partially<br />

melted steel, for example, can provide<br />

<strong>the</strong> means for establishing how hot <strong>the</strong><br />

fire burned and where <strong>the</strong> collapse<br />

might have initiated. Badly bent<br />

columns can give evidence <strong>of</strong> buckling<br />

before and during collapse. Even <strong>the</strong><br />

scratches and scars on large pieces <strong>of</strong><br />

steel can be useful in determining <strong>the</strong><br />

sequence <strong>of</strong> collapse. This will be <strong>the</strong><br />

task <strong>of</strong> teams <strong>of</strong> experts announced<br />

shortly after <strong>the</strong> tragedy by <strong>the</strong><br />

American Society <strong>of</strong> Civil Engineers<br />

and <strong>the</strong> Federal Emergency<br />

Management Agency. Also in <strong>the</strong><br />

immediate wake <strong>of</strong> <strong>the</strong> collapse, <strong>the</strong><br />

National Science <strong>Foundation</strong> awarded<br />

eight grants to engineering and social<br />

science researchers to assess <strong>the</strong><br />

debris as it is being removed and to<br />

study <strong>the</strong> behavior <strong>of</strong> emergency<br />

response and management teams.<br />

Analyzing <strong>the</strong> failure <strong>of</strong> <strong>the</strong> towers is a<br />

Herculean task, but it is important that<br />

engineers understand in detail what<br />

happened so that <strong>the</strong>y incorporate <strong>the</strong><br />

lessons learned into future design<br />

practices. It was <strong>the</strong> careful failure<br />

analysis <strong>of</strong> <strong>the</strong> bombed Federal<br />

Building in Oklahoma City that led<br />

engineers to delineate guidelines for<br />

designing more terrorist-resistant<br />

buildings. The Pentagon was actually<br />

undergoing retr<strong>of</strong>itting to make it better<br />

able to withstand an explosion when it<br />

was hit by a third hijacked plane on<br />

September 11. Part <strong>of</strong> <strong>the</strong> section <strong>of</strong><br />

<strong>the</strong> building that was struck had in fact<br />

just been streng<strong>the</strong>ned, and it suffered<br />

much less damage than <strong>the</strong> old section<br />

beside it, thus demonstrating <strong>the</strong><br />

effectiveness <strong>of</strong> <strong>the</strong> work.<br />

Understanding how <strong>the</strong> World Trade<br />

Center towers collapsed will enable<br />

engineers to build more attack-resistant<br />

skyscrapers. Even before a<br />

detailed failure analysis is completed,<br />

however, it is evident that one way to<br />

minimize <strong>the</strong> damage to tall structures<br />

is to prevent airplanes and <strong>the</strong>ir fuel<br />

from being able to penetrate deeply<br />

into <strong>the</strong> buildings in <strong>the</strong> first place.<br />

This is not an impossible task. When a<br />

B-25 bomber struck <strong>the</strong> Empire State<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 15


Building in 1945, its body stuck out<br />

from <strong>the</strong> 78th and 79th floors like a<br />

long car in a short garage. The building<br />

suffered an 18-by-20-foot (5.5-by-<br />

6-meter) hole in its face, but <strong>the</strong>re was<br />

no conflagration, and <strong>the</strong>re certainly<br />

was no collapse. The greatest damage<br />

was done by <strong>the</strong> engines coming<br />

loose and flying like missiles through<br />

<strong>the</strong> building. The wreckage <strong>of</strong> <strong>the</strong><br />

plane was removed, <strong>the</strong> local damage<br />

repaired and <strong>the</strong> building restored to<br />

its original state. Among <strong>the</strong> differences<br />

between <strong>the</strong> Empire State<br />

Building and World Trade Center incidents<br />

was that in <strong>the</strong> former case, relatively<br />

speaking, a lighter plane struck<br />

a heavier structure. Fur<strong>the</strong>rmore, <strong>the</strong><br />

propeller-driven bomber was on a<br />

short-range flight from Bedford,<br />

Massachusetts to Newark airport and<br />

The towers might have stood<br />

after <strong>the</strong> attack if <strong>the</strong> fires had<br />

been extinguished quickly<br />

so did not have on board <strong>the</strong> amount<br />

<strong>of</strong> fuel necessary to complete a<br />

transcontinental flight or to bring down<br />

a skyscraper.<br />

Modern tall buildings can be streng<strong>the</strong>ned<br />

to be more resistant to full penetration<br />

by even <strong>the</strong> heaviest <strong>of</strong> aircraft.<br />

This can be done by placing more and<br />

heavier columns around <strong>the</strong> periphery<br />

<strong>of</strong> <strong>the</strong> structure, making <strong>the</strong> tube<br />

denser and thicker, as it were. The ultimate<br />

defense would be to make <strong>the</strong><br />

facade a solid wall <strong>of</strong> steel or concrete,<br />

or both. This would eliminate windows<br />

entirely, <strong>of</strong> course, which would defeat<br />

some <strong>of</strong> <strong>the</strong> purpose <strong>of</strong> a skyscraper,<br />

which is in part to provide a dramatic<br />

view from a prestigious <strong>of</strong>fice or board<br />

room. The elimination <strong>of</strong> that attraction,<br />

in conjunction with <strong>the</strong> increased mass<br />

<strong>of</strong> <strong>the</strong> structure itself, would provide<br />

space that would command a significantly<br />

lower rent and yet cost a great<br />

deal more to build. Indeed, no one<br />

would likely even consider building or<br />

Courtesy <strong>of</strong> American Scientist<br />

Figure 2. Structural design <strong>of</strong> <strong>the</strong><br />

World Trade Center towers was a tube<br />

with a central core.<br />

renting space in such a building.<br />

Hence, <strong>the</strong> solution would be a Pyrrhic<br />

victory over terrorists.<br />

The World Trade Center towers might<br />

have stood after <strong>the</strong> terrorist attack if<br />

<strong>the</strong> fires had been extinguished quickly.<br />

But even if <strong>the</strong> conventional sprinkler<br />

systems had not been damaged,<br />

water would not have been effective<br />

against <strong>the</strong> burning jet fuel. Perhaps<br />

skyscrapers could be fitted with a<br />

robust fire-fighting system employing<br />

<strong>the</strong> kind <strong>of</strong> foam that is laid down on<br />

airport runways during emergency<br />

landings, or fitted with some o<strong>the</strong>r oxygen-depriving<br />

scheme, if <strong>the</strong>re could<br />

also be a way for fleeing people to<br />

brea<strong>the</strong> in such an environment. Such<br />

schemes would need robustness and<br />

redundancy to survive tremendous<br />

impact forces, so any such system<br />

might be unattractively bulky and prohibitively<br />

expensive to install. O<strong>the</strong>r<br />

approaches might include more effective<br />

firepro<strong>of</strong>ing, such as employing<br />

ceramic-based materials, thus at least<br />

giving <strong>the</strong> occupants <strong>of</strong> a burning<br />

building more time to evacuate.<br />

The evacuation <strong>of</strong> tall buildings will no<br />

doubt now be given much more attention<br />

by architects and engineers alike.<br />

Each World Trade Center tower had<br />

multiple stairways, but all were in <strong>the</strong><br />

single central core <strong>of</strong> <strong>the</strong> building. In<br />

contrast, stairways in Germany, for<br />

example, are required to be in different<br />

corners <strong>of</strong> <strong>the</strong> building. In that configuration,<br />

it is much more likely that one<br />

stairway will remain open even if a<br />

plane crashes into ano<strong>the</strong>r corner. But<br />

locating stairwells in <strong>the</strong> corners <strong>of</strong> a<br />

building means, <strong>of</strong> course, that prime<br />

<strong>of</strong>fice space cannot be located <strong>the</strong>re.<br />

In o<strong>the</strong>r words, most measures to<br />

make buildings safer also make <strong>the</strong>m<br />

more expensive to build and diminish<br />

<strong>the</strong> appeal <strong>of</strong> <strong>the</strong>ir <strong>of</strong>fice space. This<br />

dilemma is at <strong>the</strong> heart <strong>of</strong> <strong>the</strong> reason<br />

why <strong>the</strong> future <strong>of</strong> <strong>the</strong> skyscraper is<br />

threatened.<br />

It is likely that, in <strong>the</strong> wake <strong>of</strong> <strong>the</strong><br />

World Trade Center collapses, any<br />

super-tall building currently in <strong>the</strong><br />

development stage will be put on hold<br />

and reconsidered. Real-estate<br />

investors will want to know how <strong>the</strong><br />

proposed building will stand up to <strong>the</strong><br />

crash <strong>of</strong> a fully fueled jumbo jet, how<br />

hot <strong>the</strong> ensuing fire will burn, how long<br />

it will take to be extinguished and how<br />

long <strong>the</strong> building will stand so that <strong>the</strong><br />

occupants can evacuate. The investors<br />

will also want to know who will rent <strong>the</strong><br />

space if it is built.<br />

Potential tenants will have <strong>the</strong> same<br />

questions about terrorist attacks.<br />

Companies will also wonder if <strong>the</strong>ir<br />

employees will be willing to work on<br />

<strong>the</strong> upper stories <strong>of</strong> a tall building.<br />

Managers will wonder if those employees<br />

who do agree to work in <strong>the</strong> building<br />

will be constantly distracted,<br />

watching out <strong>the</strong> window for approaching<br />

airplanes. Corporations will wonder<br />

if clients will be reluctant to come to a<br />

place <strong>of</strong> business perceived to be vulnerable<br />

to attack. The very need to<br />

have workers grouped toge<strong>the</strong>r on<br />

adjacent floors in tall buildings is also<br />

being called into question.<br />

After <strong>the</strong> events <strong>of</strong> September 11, <strong>the</strong><br />

incentive to build a signature structure,<br />

a distinctive super-tall building that<br />

sticks out in <strong>the</strong> skyline, is greatly<br />

diminished. In <strong>the</strong> immediate future, as<br />

leases come up for renewal in existing<br />

skyscrapers, real-estate investors will<br />

be watching closely for trends. It is<br />

unlikely that our most familiar skylines<br />

will be greatly changed in <strong>the</strong> foreseeable<br />

future. Indeed, if companies begin<br />

16 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


to move <strong>the</strong>ir operations wholesale out<br />

<strong>of</strong> <strong>the</strong> most distinctive and iconic <strong>of</strong><br />

super-tall buildings and into more nondescript<br />

structures <strong>of</strong> moderate height,<br />

it is not unimaginable that cities like<br />

New York and Chicago will in time see<br />

<strong>the</strong> reversal <strong>of</strong> a long-standing trend.<br />

We might expect no longer to see<br />

developers buying up land, demolishing<br />

<strong>the</strong> low-rise buildings on it, and<br />

putting up a new skyscraper. Instead,<br />

owners might be more likely to demolish<br />

a vacant skyscraper and erect in<br />

its place a building that is not significantly<br />

smaller or taller than its neighbors.<br />

Skylines that were once<br />

immediately recognizable even in silhouette<br />

for <strong>the</strong>ir peaks and valleys<br />

may someday be as flat as a mesa.<br />

There is no imperative to such an<br />

interplay between technology and<br />

society. What really happens in <strong>the</strong><br />

coming years will depend largely on<br />

how businesses, governments and<br />

individuals react to terrorism and <strong>the</strong><br />

threat <strong>of</strong> terrorism. Unfortunately, <strong>the</strong><br />

image <strong>of</strong> <strong>the</strong> World Trade Center towers<br />

collapsing will remain in our collective<br />

consciousness for a few<br />

Skylines once recognizable in<br />

silhouette may someday be as<br />

flat as a mesa<br />

generations, at least. Thus, it is no idle<br />

speculation to think that it will be at<br />

least a generation before skyscrapers<br />

return to ascendancy, if <strong>the</strong>y ever do.<br />

Developments in micro-miniaturization,<br />

telecommunications, information technology,<br />

business practice, management<br />

science, economics, psychology<br />

and politics will likely play a much larger<br />

role than architecture and engineering<br />

in determining <strong>the</strong> immediate<br />

future <strong>of</strong> macro-structures, at least in<br />

<strong>the</strong> West.<br />

Bibliography<br />

Bazant, Zdenek P., and Youg Zhou. 2001. “Why<br />

did <strong>the</strong> World Trade Center collapse?-Simple<br />

analysis.” Journal <strong>of</strong> Engineering Mechanics,<br />

vol. 128 (2002) pp 2-6. www3.tam.uiuc.edu/<br />

news/200109 c/<br />

Clifton, G. Charles. 2001. Collapse <strong>of</strong> <strong>the</strong> World<br />

Trade Center towers. www.hera.org.nz/pdf<br />

files/worldtrade centre.pdf<br />

Mackin, Thomas J. 2001. Engineering analysis<br />

<strong>of</strong> tragedy at WTC. Presentation slides for ME<br />

346, Department <strong>of</strong> Mechanical Engineering,<br />

University <strong>of</strong> Illinois at Urbana-Champaign.<br />

Opportunities<br />

<strong>Lincoln</strong> Electric Pr<strong>of</strong>essional Programs<br />

Blodgett’s Design <strong>of</strong> Welded<br />

Structures<br />

September 24-26, 2002<br />

Blodgett’s Design <strong>of</strong> Steel Structures is<br />

an intensive 3-day program which<br />

addresses methods <strong>of</strong> reducing costs,<br />

improving appearance and function,<br />

and conserving material through <strong>the</strong><br />

efficient use <strong>of</strong> welded steel in a broad<br />

range <strong>of</strong> structural applications.<br />

Seminar leaders: Omer W. Blodgett and<br />

Duane K. Miller. 2.0 CEUs. Fee: $595.<br />

Blodgett’s Design <strong>of</strong> Weldments<br />

June 4-6, 2002<br />

October 29-31, 2002<br />

Blodgett’s Design <strong>of</strong> Steel Weldments<br />

is an intensive 3-day program for those<br />

concerned with manufacturing machine<br />

tools, construction, transportation,<br />

material handling, and agricultural<br />

equipment, as well as manufactured<br />

metal products <strong>of</strong> all types. Seminar<br />

leaders: Omer W. Blodgett and Duane<br />

K. Miller. 2.0 CEUs. Fee: $595.<br />

Fracture & Fatigue Control<br />

in Structures:<br />

Applications <strong>of</strong> Fracture Mechanics<br />

October 15-17, 2002<br />

Fracture mechanics has become <strong>the</strong><br />

primary approach to analyzing and<br />

controlling brittle fractures and fatigue<br />

failures in structures. This course will<br />

focus on engineering applications<br />

using actual case studies. Guest seminar<br />

leaders: Dr. John Barsom and Dr.<br />

Stan Rolfe. 2.0 CEUs. Fee: $595.<br />

Space is limited, so register early to<br />

avoid disappointment. For full details, see<br />

http://www.lincolnelectric.com/<br />

knowledge/training/seminars/<br />

Or call 216/383-2240, or write to<br />

Registrar, Pr<strong>of</strong>essional Programs, The<br />

<strong>Lincoln</strong> Electric Company, 22801 St. Clair<br />

Avenue, Cleveland, OH 44117-1199.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 17


Lessons Learned in <strong>the</strong> Field<br />

By Omer W. Blodgett, Sc.D., P.E.<br />

Consider <strong>the</strong> Transfer <strong>of</strong> Stress through Members<br />

Introduction<br />

Here I am, back again. In <strong>the</strong> second<br />

issue <strong>of</strong> 2001 (Vol. XVIII, No. 2), <strong>the</strong><br />

editors <strong>of</strong> <strong>Welding</strong> Innovation were<br />

delighted to publish an excellent piece<br />

in this space: “Persistence Pays Off” by<br />

Rob Lawrence <strong>of</strong> Butler Manufacturing.<br />

Now, where are <strong>the</strong> submissions from<br />

<strong>the</strong> rest <strong>of</strong> you out <strong>the</strong>re?<br />

I started this column a couple <strong>of</strong> years<br />

ago with <strong>the</strong> idea <strong>of</strong> providing a forum<br />

in which our readers could share <strong>the</strong><br />

important principles gleaned from <strong>the</strong><br />

everyday challenges <strong>of</strong> working in <strong>the</strong><br />

field. It seems to me that <strong>of</strong>ten <strong>the</strong><br />

“evident” solution to a problem turns<br />

out to be a dead end. I call <strong>the</strong>se my<br />

“ah-ha!” moments. Surely <strong>the</strong>y’ve happened<br />

to many <strong>of</strong> you. Think about<br />

what you actually learned from <strong>the</strong>se<br />

experiences, that you were able to<br />

apply again in o<strong>the</strong>r situations. Then<br />

send an email describing your column<br />

idea to Assistant Editor Jeff Nadzam<br />

at Jeffrey_Nadzam@lincolnelectric.com.<br />

Don’t worry about preparing a finished,<br />

illustrated article. Our writers,<br />

editors and artists can help with that.<br />

We’re just looking for a description <strong>of</strong><br />

<strong>the</strong> real-life circumstances, and a<br />

statement <strong>of</strong> what you learned.<br />

All right, <strong>the</strong>n, here are some more<br />

lessons I learned, not in school, but<br />

working in <strong>the</strong> field.<br />

Provide a Path for<br />

Transfer <strong>of</strong> Stress<br />

A common design oversight is <strong>the</strong> failure<br />

to provide a path so that a transverse<br />

force can enter that part <strong>of</strong> <strong>the</strong> member<br />

(section) that lies parallel to <strong>the</strong> force.<br />

18 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002<br />

Figure 1.<br />

Given what is needed for <strong>the</strong> proper<br />

transfer <strong>of</strong> force (as shown in Figure 1),<br />

let’s consider some examples.<br />

Figure 2.<br />

Figure 3.<br />

The top <strong>of</strong> Figure 2 shows a lug that<br />

has been welded to a flanged beam in<br />

<strong>the</strong> simplest and most efficient manner—so<br />

<strong>the</strong> force goes into <strong>the</strong> web,<br />

<strong>the</strong> part parallel to it. In <strong>the</strong> center<br />

sketch <strong>of</strong> Figure 2, <strong>the</strong> lug is placed<br />

across <strong>the</strong> bottom flange, necessitating<br />

<strong>the</strong> use <strong>of</strong> ei<strong>the</strong>r rectangular or triangular<br />

stiffeners to transfer <strong>the</strong> load<br />

to <strong>the</strong> web. If, for some reason, <strong>the</strong> circumstances<br />

require <strong>the</strong> lug to be<br />

placed in this manner, <strong>the</strong> stiffeners<br />

(with <strong>the</strong> attendant increase in welding<br />

and material usage <strong>the</strong>y entail) are<br />

mandatory. Merely welding <strong>the</strong> lug<br />

across <strong>the</strong> more flexible flange could<br />

result in an uneven load on <strong>the</strong> weld.<br />

Note that <strong>the</strong> stiffeners are not welded<br />

to <strong>the</strong> top flange. There would be no<br />

reason to weld <strong>the</strong>m <strong>the</strong>re, since <strong>the</strong><br />

flange will not take <strong>the</strong> force. At <strong>the</strong><br />

bottom <strong>of</strong> Figure 2, <strong>the</strong> member is in a<br />

different position, and <strong>the</strong> lug is correctly<br />

welded to <strong>the</strong> flanges that will<br />

take <strong>the</strong> load. It is not welded to <strong>the</strong><br />

web, since that would serve little purpose<br />

in transferring <strong>the</strong> force.<br />

Figure 3 illustrates how a lug might be<br />

welded to a box section so as to transfer<br />

force to <strong>the</strong> parts parallel to it. The<br />

sketch at <strong>the</strong> top, <strong>of</strong> course, is not<br />

applicable to <strong>the</strong> rolled section shown,<br />

since <strong>the</strong>re would be no way <strong>of</strong> getting<br />

<strong>the</strong> diaphragm inside <strong>the</strong> box. But if it<br />

were a fabricated box section, <strong>the</strong><br />

diaphragm could be welded in before<br />

welding <strong>the</strong> top plate on. The center


and bottom drawings in Figure 3 show<br />

additional ways to attach a lug to a<br />

box section. In <strong>the</strong> center, <strong>the</strong> lug is<br />

shaped as a sling and directly welded<br />

to <strong>the</strong> flange. At <strong>the</strong> bottom, <strong>the</strong> lug is<br />

designed so it will transfer <strong>the</strong> force<br />

into <strong>the</strong> two webs. This is a very efficient<br />

way to transfer <strong>the</strong> force on <strong>the</strong><br />

lug into <strong>the</strong> webs.<br />

When <strong>the</strong> Member Is Circular<br />

Figure 4 illustrates two methods <strong>of</strong><br />

applying a transverse force to a circular<br />

member. The rationale for <strong>the</strong>se<br />

methods <strong>of</strong> attachment is shown in<br />

Figure 4.<br />

Figure 5. At <strong>the</strong> top <strong>of</strong> Figure 5, <strong>the</strong><br />

beam is welded to a support. In standard<br />

practice, it is assumed that <strong>the</strong><br />

flanges transfer <strong>the</strong> bending moments<br />

and <strong>the</strong> web transfers vertical shear. In<br />

<strong>the</strong> case <strong>of</strong> <strong>the</strong> circular member at <strong>the</strong><br />

Figure 5.<br />

bottom <strong>of</strong> Figure 5, however, it is difficult<br />

to decide which part <strong>of</strong> <strong>the</strong> member<br />

is flange, and which part is web.<br />

Ma<strong>the</strong>matical analysis has shown that<br />

if a tube is divided into four quadrants,<br />

<strong>the</strong> top and bottom quadrants will<br />

transfer 82% <strong>of</strong> <strong>the</strong> bending moment,<br />

and <strong>the</strong> side quadrants, 82% <strong>of</strong> <strong>the</strong><br />

vertical shear. The methods <strong>of</strong> attaching<br />

<strong>the</strong> lug shown in Figure 4, <strong>the</strong>refore,<br />

are methods that transfer force<br />

tending to cause vertical shear into <strong>the</strong><br />

areas <strong>of</strong> <strong>the</strong> circular section most<br />

closely parallel to <strong>the</strong> force.<br />

More Complicated Examples<br />

Figure 6 provides a more complicated<br />

example <strong>of</strong> force transfer. A tank to<br />

haul water on a truck is made up <strong>of</strong><br />

1/4 in. (6.4 mm) thick plate, with <strong>the</strong><br />

sides overlapping <strong>the</strong> ends so as to<br />

provide fillet welds. Considering <strong>the</strong><br />

forces from <strong>the</strong> water pressure on <strong>the</strong><br />

tank ends, <strong>the</strong> only place for <strong>the</strong>m to<br />

Figure 6.<br />

go is through <strong>the</strong> welds and into <strong>the</strong><br />

sides—<strong>the</strong> parts parallel to <strong>the</strong>ir direction.<br />

The forces get <strong>the</strong>re by bending<br />

<strong>the</strong> end plate. In service, <strong>the</strong> welds<br />

cracked. Three remedies were tried<br />

successively, as shown in Figure 6,<br />

using longitudinal and corner stiffeners,<br />

and finally both longitudinal and<br />

end stiffeners with corner stiffeners.<br />

Figure 7 shows <strong>the</strong> center sill <strong>of</strong> a<br />

piggyback railroad car to which a<br />

bracket is welded to carry a 500 lb.<br />

(227 kg) air compressor unit. There are<br />

no interior diaphragms. The vertical<br />

Figure 7.<br />

force from <strong>the</strong> weight <strong>of</strong> <strong>the</strong> unit is<br />

transferred as moment into <strong>the</strong> bracket,<br />

creating bending at <strong>the</strong> web. The two<br />

horizontal bending forces must eventually<br />

transfer to <strong>the</strong> parallel flanges, but<br />

with an open box section <strong>the</strong>re are no<br />

ready pathways. As a result, <strong>the</strong> web<br />

flexes and fatigue cracks appear in <strong>the</strong><br />

web. The sketches at <strong>the</strong> bottom <strong>of</strong><br />

Figure 7 illustrate two possible means<br />

for correcting <strong>the</strong> faulty design. In one,<br />

a stiffener is added before <strong>the</strong> web<br />

opposite <strong>the</strong> bracket side is welded<br />

into <strong>the</strong> assembly. The stiffener is welded<br />

to both flanges and to one web.<br />

There are now paths for <strong>the</strong> bending<br />

forces to get to <strong>the</strong> flanges. The second<br />

way to correct <strong>the</strong> design is to<br />

shape <strong>the</strong> bracket so it can be welded<br />

directly to <strong>the</strong> sill flanges in new fabrications,<br />

or to add pieces to <strong>the</strong> bracket<br />

on existing cars to accomplish <strong>the</strong><br />

same purpose.<br />

Conclusion<br />

The foregoing are just a few examples<br />

intended to illustrate <strong>the</strong> importance <strong>of</strong><br />

considering <strong>the</strong> transfer <strong>of</strong> force<br />

through members. Sometimes we<br />

engineers act a little like horses with<br />

blinders on: we concentrate so singlemindedly<br />

on <strong>the</strong> problem at hand, that<br />

we can’t see what is going on around<br />

us. The ideas discussed in this column<br />

should demonstrate how critical it is<br />

for us as engineers to take our blinders<br />

<strong>of</strong>f, expand our limited views, and<br />

test our assumptions.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 19


Gleaming “Waterfall” Refreshes Urban Campus<br />

By Carla Rautenberg<br />

<strong>Welding</strong> Innovation Contributing Writer<br />

The <strong>James</strong> F. <strong>Lincoln</strong> <strong>Arc</strong> <strong>Welding</strong> <strong>Foundation</strong><br />

Cleveland, Ohio<br />

Controversy and intense interest have<br />

surrounded The Peter B. Lewis<br />

Building <strong>of</strong> <strong>the</strong> Wea<strong>the</strong>rhead School <strong>of</strong><br />

Management at Case Western<br />

Reserve University ever since architect<br />

Frank Gehry unveiled his design. But<br />

many Cleveland area residents who<br />

shuddered when <strong>the</strong>y first saw photographs<br />

<strong>of</strong> <strong>the</strong> model in <strong>the</strong> city’s<br />

paper, The Plain Dealer, have been<br />

won over as <strong>the</strong>y watched <strong>the</strong> shining<br />

sculptural curves <strong>of</strong> <strong>the</strong> ro<strong>of</strong> take solid<br />

shape and form.<br />

Figure 1.<br />

Figure 2.<br />

According to Plain Dealer architecture<br />

critic Steven Litt, <strong>the</strong> building depicts<br />

“Gehry’s vision <strong>of</strong> a gleaming waterfall<br />

splashing over boulders in a mountain<br />

stream.” Sure enough, <strong>the</strong> stainless<br />

steel skin that slinks over and around<br />

<strong>the</strong> sensuous curves <strong>of</strong> <strong>the</strong> steel structure<br />

glistens in <strong>the</strong> sun like so much<br />

rushing water. The sight, etched against<br />

a blue sky, can be breathtaking.<br />

What no longer shows is <strong>the</strong> meticulous<br />

planning, shop fabricating and<br />

field welding work that went into creating<br />

<strong>the</strong> structural steel supports for<br />

that elegant silvery “gown” <strong>of</strong> shingles<br />

<strong>the</strong> $61.7 million building now wears.<br />

When <strong>the</strong> project’s lead contractor,<br />

Hunt Construction Group <strong>of</strong><br />

Indianapolis, called for bids to fabricate<br />

and erect <strong>the</strong> structural steel, <strong>the</strong><br />

response was apparently less than<br />

overwhelming. However, Mariani Metal<br />

Fabricators, Ltd., based across Lake<br />

Erie from Cleveland in Toronto,<br />

Ontario, answered <strong>the</strong> call.<br />

S<strong>of</strong>tware Jumps Industries<br />

Greg Kern, vice president <strong>of</strong> <strong>the</strong> 16-<br />

year-old firm, readily admits that <strong>the</strong><br />

project was a challenge, not only to<br />

build, but to price. “This was one <strong>of</strong> <strong>the</strong><br />

first uses <strong>of</strong> CATIA s<strong>of</strong>tware in <strong>the</strong><br />

steel construction industry,” he points<br />

out. CATIA, which was developed for<br />

automotive design and drafting applications,<br />

is employed by architect Frank<br />

Gehry. “Therefore, <strong>the</strong> geometry was<br />

<strong>the</strong>re for us, because [Gehry] had<br />

worked out <strong>the</strong> models,” says Kern.<br />

After winning <strong>the</strong> $6 million structural<br />

steel contract, Mariani Metal hired a<br />

drafting and s<strong>of</strong>tware training company<br />

with automotive industry expertise to<br />

produce project models and about<br />

1,200 drawings using CATIA. Parallel<br />

CATIA s<strong>of</strong>tware stations were established<br />

in <strong>the</strong> Mariani fabrication shop<br />

and at <strong>the</strong> construction site to provide<br />

design and fabrication adjustments in<br />

real-time, a step which prevented many<br />

potential disruptions in production.<br />

Devising a Practical Approach<br />

When considered in <strong>the</strong> light <strong>of</strong> traditional<br />

steel construction concepts, creating<br />

<strong>the</strong> three-dimensional negative<br />

and positive curves that comprise <strong>the</strong><br />

ro<strong>of</strong> structure posed practical problems<br />

both structurally and in terms <strong>of</strong><br />

cost. After analyzing <strong>the</strong> complex<br />

geometry from a real-world erection<br />

standpoint, Mariani Metal proposed<br />

fabricating <strong>the</strong> structural framework in<br />

a series <strong>of</strong> ladders, infills, truss panels<br />

and support members, which would be<br />

shop-fabricated (Figure 1) and <strong>the</strong>n<br />

assembled and field-welded on site. “It<br />

was basically a modular approach,”<br />

notes Kern.<br />

Figure 3.<br />

20 <strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002


Ano<strong>the</strong>r challenge was devising a<br />

method <strong>of</strong> bending <strong>the</strong> hundreds <strong>of</strong><br />

pipes which form <strong>the</strong> “lines <strong>of</strong> ruling”<br />

(Figures 2 and 3). Almost every pipe<br />

utilized in <strong>the</strong> ro<strong>of</strong> structure had a<br />

unique curvature and length. With <strong>the</strong><br />

help <strong>of</strong> <strong>the</strong> CATIA s<strong>of</strong>tware, Mariani<br />

Metal developed a system which permitted<br />

unique members to be created<br />

within a production line. This allowed<br />

stockpiling <strong>of</strong> pipe sections which<br />

could <strong>the</strong>n efficiently feed <strong>the</strong> shop<br />

fabrication process.<br />

Standard AWS D1.1 connection<br />

details were employed to weld <strong>the</strong> 700<br />

tons <strong>of</strong> Grade 50 pipe and structural<br />

steel used to create <strong>the</strong> framework for<br />

<strong>the</strong> ro<strong>of</strong>. Mariani Metals, which has a<br />

full-time workforce <strong>of</strong> thirty, employed<br />

eight welders on <strong>the</strong> job in <strong>the</strong> shop;<br />

field welding was done by a crew that<br />

averaged between eight and sixteen<br />

welders. The process most used was<br />

shielded metal arc, with semi-automatic<br />

flux cored arc welding in selected<br />

applications. “We kept <strong>the</strong> field welding<br />

operation as straight-forward as possible,<br />

doing <strong>the</strong> most complex welding in<br />

<strong>the</strong> shop,” says Kern. He proudly<br />

states that “<strong>the</strong> skin lies directly on our<br />

pipes, with <strong>the</strong> pipes <strong>the</strong>mselves creating<br />

<strong>the</strong> geometry <strong>of</strong> <strong>the</strong> surface,” and<br />

adds that <strong>the</strong> whole process required<br />

<strong>the</strong> precision <strong>of</strong> “building a Swiss<br />

watch in full scale.” That kind <strong>of</strong> precision<br />

is apparently something <strong>the</strong> folks<br />

at Mariani thrive on; Kern maintains<br />

that <strong>the</strong>y would hasten to work on<br />

additional Gehry projects.<br />

Across <strong>the</strong> street from <strong>the</strong> construction<br />

site in Cleveland’s University Circle,<br />

<strong>the</strong> stone caryatids <strong>of</strong> Case Western<br />

Reserve’s gothic style Ma<strong>the</strong>r<br />

Memorial Building have silently<br />

watched a monument to 21st century<br />

architecture take dramatic form. When<br />

<strong>the</strong> 149,000 ft. 2 (13,843 m 2 ) Peter B.<br />

Lewis Building is dedicated later this<br />

year, <strong>the</strong> city <strong>of</strong> Cleveland will have<br />

a new landmark.<br />

This soaring structural steel framework is now hidden by <strong>the</strong> outer skin and<br />

inner walls <strong>of</strong> <strong>the</strong> building.<br />

<strong>Welding</strong> Innovation Vol. XIX, No. 1, 2002 21


P.O. Box 17188<br />

Cleveland, OH 44117-1199<br />

The<br />

<strong>James</strong> F. <strong>Lincoln</strong><br />

<strong>Arc</strong> <strong>Welding</strong><br />

<strong>Foundation</strong><br />

NON-PROFIT ORG.<br />

U.S. POSTAGE<br />

PAID<br />

JAMES F. LINCOLN<br />

ARC WELDING FND.<br />

Story on page 20.

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